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Kappeler, Thomas (b. 1953 d. 2022)

Author ID: kappeler.thomas Recent zbMATH articles by "Kappeler, Thomas"
Published as: Kappeler, Thomas; Kappeler, T.; Kappeler, Th.; Kappler, Thomas
Further Spellings: Каппелер Томас
Homepage: https://www.math.uzh.ch/index.php?id=people&key1=113
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Serials

11 Journal of Functional Analysis
9 Communications in Mathematical Physics
7 IMRN. International Mathematics Research Notices
5 Communications in Partial Differential Equations
5 SIAM Journal on Mathematical Analysis
4 Duke Mathematical Journal
4 Journal of Differential Equations
4 Proceedings of the American Mathematical Society
3 Annales de l’Institut Fourier
3 Commentarii Mathematici Helvetici
3 Transactions of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Communications on Pure and Applied Mathematics
2 Nonlinearity
2 Bulletin de la Société Mathématique de France
2 Journal of Differential Geometry
2 Physica D
2 Discrete & Computational Geometry
2 Asymptotic Analysis
2 L’Enseignement Mathématique. 2e Série
2 Selecta Mathematica. New Series
2 Communications in Contemporary Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Archive for Rational Mechanics and Analysis
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Acta Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Ricerche di Matematica
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 PLISKA. Studia Mathematica Bulgarica
1 Annals of Global Analysis and Geometry
1 Applied Mathematics Letters
1 Journal of Integral Equations and Applications
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Potential Analysis
1 Séminaire Équations aux Dérivées Partielles
1 Journal of Lie Theory
1 Mathematical Research Letters
1 Discrete and Continuous Dynamical Systems
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 The Asian Journal of Mathematics
1 Geometry & Topology
1 Chaos
1 Journal of the European Mathematical Society (JEMS)
1 Homology, Homotopy and Applications
1 Annales Henri Poincaré
1 Journal of Nonlinear Mathematical Physics
1 Moscow Mathematical Journal
1 Milan Journal of Mathematics
1 Journal of Mathematical Physics, Analysis, Geometry
1 Astérisque
1 Contemporary Mathematics
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 Unitext
1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
1 Journal of Geometric Mechanics
1 Journal of Spectral Theory
1 Nonlinear Analysis. Theory, Methods & Applications
1 Séminaire Laurent Schwartz. EDP et Applications
1 EMS Series of Lectures in Mathematics

Publications by Year

Citations contained in zbMATH Open

144 Publications have been cited 1,776 times in 1,111 Documents Cited by Year
KdV & KAM. Zbl 1032.37001
Kappeler, Thomas; Pöschel, Jürgen
154
2003
On geodesic exponential maps of the Virasoro group. Zbl 1121.35111
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P.
110
2007
Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\). Zbl 1106.35081
Kappeler, T.; Topalov, P.
107
2006
On the regularity of the composition of diffeomorphisms. Zbl 1293.58004
Inci, H.; Kappeler, T.; Topalov, P.
65
2013
Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106
Craig, Walter; Kappeler, Thomas; Strauss, Walter
65
1995
Mayer-Vietoris type formula for determinants of elliptic differential operators. Zbl 0759.58043
Burghelea, D.; Friedlander, L.; Kappeler, T.
62
1992
Gain of regularity for equations of KdV type. Zbl 0764.35021
Craig, W.; Kappeler, T.; Strauss, W.
57
1992
The defocusing NLS equation and its normal form. Zbl 1298.35002
Grébert, Benoît; Kappeler, Thomas
57
2014
Scattering and inverse scattering for steplike potentials in the Schrödinger equation. Zbl 0553.34015
Cohen, Amy; Kappeler, Thomas
44
1985
Topology of random 2-complexes. Zbl 1237.55009
Cohen, D.; Costa, A.; Farber, M.; Kappeler, T.
31
2012
Global well-posedness of mKdV in \(L^2 (\mathbb T, \mathbb R)\). Zbl 1080.35119
Kappeler, T.; Topalov, P.
30
2005
On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354
Gérard, Patrick; Kappeler, Thomas
27
2021
Analytic and Reidemeister torsion for representations in finite type Hilbert modules. Zbl 0874.57025
Burghelea, D.; Friedlander, L.; Kappeler, T.; McDonald, P.
27
1996
Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045
de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter
26
2007
On the determinant of elliptic boundary value problems on a line segment. Zbl 0848.34063
Burghelea, D.; Friedlander, L.; Kappeler, T.
26
1995
On the determinant of elliptic differential and difference finite operators in vector bundles over \(S^ 1\). Zbl 0734.58043
Burghelea, D.; Friedlander, L.; Kappeler, T.
24
1991
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator. Zbl 1097.34553
Kappeler, T.; Mityagin, B.
23
2001
Refined analytic torsion. Zbl 1147.58034
Braverman, Maxim; Kappeler, Thomas
21
2008
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
21
2020
The Miura map on the line. Zbl 1089.35058
Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter
20
2005
Refined analytic torsion as an element of the determinant line. Zbl 1135.58014
Braverman, Maxim; Kappeler, Thomas
19
2007
Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. (Croissance de norme avec perte infinie de régularité pour les équations de Schrödinger périodiques en régularité négative.) Zbl 1428.35488
Carles, Rémi; Kappeler, Thomas
18
2017
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials. Zbl 1004.34077
Kappeler, T.; Möhr, C.
18
2001
Qualitative features of periodic solutions of KdV. Zbl 1274.35330
Kappeler, T.; Schaad, B.; Topalov, P.
18
2013
(Large) KAM tori for perturbations of the defocusing NLS equation. Zbl 1465.35002
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
16
2018
Results on normal forms for FPU chains. Zbl 1168.70005
Henrici, Andreas; Kappeler, Thomas
16
2008
Solutions of the Korteweg-de Vries equation with steplike initial data. Zbl 0598.35118
Kappeler, Thomas
16
1986
Banach spaces with the condition of Mazur. Zbl 0658.46010
Kappeler, T.
15
1986
Gap estimates of the spectrum of Hill’s equation and action variables for KdV. Zbl 0924.58074
Kappeler, T.; Mityagin, B.
15
1999
Birkhoff coordinates for the focusing NLS equation. Zbl 1176.35168
Kappeler, T.; Lohrmann, P.; Topalov, P.; Zung, N. T.
15
2009
Asymptotic expansion of the Witten deformation of the analytic torsion. Zbl 0858.57029
Burghelea, D.; Friedlander, L.; Kappeler, T.
15
1996
Solutions to the Korteweg-de Vries equation with initial profile in \(L^ 1_ 1({\mathbb{R}})\cap L^ 1_ N({\mathbb{R}}^+)\). Zbl 0651.35075
Cohen, Amy; Kappeler, Thomas
13
1987
Birkhoff coordinates for KdV on phase spaces of distributions. Zbl 1089.37042
Kappeler, T.; Möhr, C.; Topalov, P.
13
2005
Scattering-like phenomena of the periodic defocusing NLS equation. Zbl 1390.35330
Kappeler, T.; Schaad, B.; Topalov, P.
13
2017
Global action-angle variables for the periodic Toda lattice. Zbl 1166.37026
Henrici, Andreas; Kappeler, Thomas
12
2008
On the wellposedness of the KdV/KdV2 equations and their frequency maps. Zbl 1406.37050
Kappeler, Thomas; Molnar, Jan-Cornelius
12
2018
Gap estimates of the spectrum of the Zakharov-Shabat system. Zbl 0940.35186
Grébert, B.; Kappeler, T.; Mityagin, B.
11
1998
Fibration of the phase space for the Korteweg-de Vries equation. Zbl 0731.58033
Kappeler, Thomas
11
1991
On isospectral potentials on tori. Zbl 0732.35064
Gordon, Carolyn S.; Kappeler, Thomas
11
1991
Comparison of the refined analytic and the Burghelea-Haller torsions. Zbl 1147.58033
Braverman, Maxim; Kappeler, Thomas
11
2007
On Birkhoff coordinates for KdV. Zbl 1017.76015
Kappeler, T.; Makarov, M.
11
2001
On the well-posedness of the defocusing mKdV equation below \(L^{2}\). Zbl 1368.37078
Kappeler, Thomas; Molnar, Jan-Cornelius
11
2017
A KAM theorem for the defocusing NLS equation. Zbl 1234.35248
Kappeler, Thomas; Liang, Zhenguo
11
2012
Foliation of phase space for the cubic nonlinear Schrödinger equation. Zbl 0783.35068
Bättig, Daniel; Grébert, Benoît; Guillot, Jean-Claude; Kappeler, Thomas
10
1993
Torsions for manifolds with boundary and glueing formulas. Zbl 0959.58041
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
10
1999
Ray-Singer type theorem for the refined analytic torsion. Zbl 1122.58018
Braverman, Maxim; Kappeler, Thomas
10
2007
Global Birkhoff coordinates for the periodic Toda lattice. Zbl 1167.37029
Henrici, Andreas; Kappeler, Thomas
10
2008
Global fold structure of the Miura map on \(L^2({\mathbb{T}})\). Zbl 1076.35111
Kappeler, T.; Topalov, P.
10
2004
Isospectrality and heat content. Zbl 1297.58008
van den Berg, M.; Dryden, E. B.; Kappeler, T.
10
2014
On isospectral potentials on a discrete lattice. II. Zbl 0675.35023
Kappeler, Thomas
9
1988
Solutions to the Korteweg-de Vries equation with irregular initial profile. Zbl 0606.35079
Kappeler, Thomas
9
1986
On the periodic KdV equation in weighted Sobolev spaces. Zbl 1177.35199
Kappeler, Thomas; Pöschel, Jürgen
9
2009
On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Zbl 0855.58035
Bättig, D.; Bloch, A. M.; Guillot, J.-C.; Kappeler, T.
9
1995
Resonant normal form for even periodic FPU chains. Zbl 1181.37081
Henrici, Andreas; Kappeler, Thomas
9
2009
A refinement of the Ray-Singer torsion. Zbl 1086.58015
Braverman, Maxim; Kappeler, Thomas
9
2005
Betti numbers of random manifolds. Zbl 1136.55014
Farber, Michael; Kappeler, Thomas
8
2008
Symmetries of the nonlinear Schrödinger equation. Zbl 1044.35088
Grébert, Benoît; Kappeler, Thomas
8
2002
Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087
Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P.
8
2008
Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system. Zbl 0982.34073
Grébert, B.; Kappeler, T.
8
2001
Asymptotics of spectral quantities of Schrödinger operators. Zbl 1317.81119
Kappeler, T.; Schaad, B.; Topalov, P.
8
2012
On the Korteweg-de Vries equation: Frequencies and initial value problem. Zbl 0899.35096
Bättig, D.; Kappeler, T.; Mityagin, B.
8
1997
Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
8
2021
On isospectral periodic potentials on a discrete lattice. I. Zbl 0696.35140
Kappeler, Thomas
7
1988
Isospectral potentials on a discrete lattice. III. Zbl 0706.35112
Kappeler, Thomas
7
1989
Solutions to the cubic Schrödinger equation by the inverse scattering method. Zbl 0755.35126
Cohen, Amy; Kappeler, Thomas
7
1992
Fibration of the phase space of the periodic Toda lattice. Zbl 0863.58032
Bättig, D.; Grébert, B.; Guillot, J. C.; Kappeler, T.
7
1993
Topics of stochastic algebraic topology. Zbl 1347.05225
Costa, A. E.; Farber, M.; Kappeler, T.
7
2012
On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. Zbl 1521.37085
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
7
2022
On the Benjamin-Ono equation on \(\mathbb{T}\) and its periodic and quasiperiodic solutions. Zbl 1495.37060
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
7
2022
Sharp well-posedness results of the Benjamin-Ono equation in \(H^s(\mathbb{T},\mathbb{R})\) and qualitative properties of its solutions. Zbl 1533.35061
Gérard, Patrick; Kappeler, Thomas; Topalov, Peter
7
2023
On the convexity of the KdV Hamiltonian. Zbl 1353.35251
Kappeler, Thomas; Maspero, Alberto; Molnar, Jan; Topalov, Peter
6
2016
Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation. Zbl 1404.35418
Kappeler, Thomas; Schaad, Beat; Topalov, Peter
6
2016
Regularized determinants for pseudodifferential operators in vector bundles over \(S^ 1\). Zbl 0784.35126
Burghelea, D.; Friedlander, L.; Kappeler, T.
6
1993
Nonuniqueness for solutions of the Korteweg-de Vries equation. Zbl 0692.35118
Cohen, Amy; Kappeler, Thomas
6
1989
Well-posedness of KdV on \(H^{-1}(\mathbb T)\). Zbl 1101.35367
Kappeler, T.; Topalov, P.
6
2004
A canonical quadratic form on the determinant line of a flat vector bundle. Zbl 1146.58023
Braverman, Maxim; Kappeler, Thomas
6
2008
Perturbations of the defocusing nonlinear Schrödinger equation. Zbl 1048.37067
Grébert, B.; Kappeler, T.
6
2003
mKdV and its Birkhoff coordinates. Zbl 1143.76400
Kappeler, T.; Schaad, B.; Topalov, P.
6
2008
Riccati map on \(L_{0}^{2}(\mathbb T)\) and its applications. Zbl 1085.34067
Kappeler, Thomas; Topalov, Peter
6
2005
From Toda to KdV. Zbl 1334.37078
Bambusi, D.; Kappeler, T.; Paul, T.
6
2015
On isospectral potentials on flat tori. II. Zbl 0849.35085
Gordon, Carolyn S.; Kappler, Thomas
6
1995
Riemannian exponential maps of the diffeomorphism group of \(\mathbb T^2\). Zbl 1161.58008
Kappeler, Thomas; Loubet, Enrique; Topalov, Peter
6
2008
Birkhoff normal form for the periodic Toda lattice. Zbl 1149.37031
Henrici, Andreas; Kappeler, Thomas
5
2008
On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. Zbl 1191.47060
Kappeler, T.; Serier, F.; Topalov, P.
5
2009
On the symplectic phase space of KdV. Zbl 1167.35039
Kappeler, T.; Serier, F.; Topalov, P.
5
2008
Perturbations of the harmonic map equation. Zbl 1063.58012
Kappeler, T.; Kuksin, S.; Schroeder, V.
5
2003
On the Birkhoff normal form of a completely integrable Hamiltonian system near a fixed point with resonance. Zbl 0919.58030
Kappeler, Thomas; Kodama, Yuji; Némethi, Andras
5
1998
Nekhoroshev theorem for the periodic Toda lattice. Zbl 1317.37057
Henrici, Andreas; Kappeler, Thomas
5
2009
Canonical coordinates with tame estimates for the defocusing NLS equation on the circle. Zbl 1410.35202
Kappeler, Thomas; Montalto, Riccardo
4
2018
Properties of the scattering map. Zbl 0595.34027
Kappeler, Thomas; Trubowitz, Eugene
4
1986
Renormalization group flow of a hierarchical sine-Gordon model by partial differential equations. Zbl 0729.35128
Kappeler, Thomas; Pinn, Klaus; Wieczerkowski, Christian
4
1991
A note on gaps of Hill’s equation. Zbl 1082.34072
Grébert, Benoît; Kappeler, Thomas; Pöschel, Jürgen
4
2004
Relative torsion. Zbl 0994.58018
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
4
2001
On action-angle variables for the second Poisson bracket of KdV. Zbl 1003.37038
Kappeler, T.; Makarov, M.
4
2000
From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110
Bambusi, Dario; Kappeler, Thomas; Paul, Thierry
4
2009
Riccati representation for elements in \(H^{-1}(\mathbb{T})\) and its applications. Zbl 1529.47081
Kappeler, Thomas; Topalov, Peter
4
2003
Generic non-selfadjoint Zakharov-Shabat operators. Zbl 1319.47012
Kappeler, T.; Lohrmann, P.; Topalov, P.
3
2014
On the stability of periodic multi-solitons of the KdV equation. Zbl 1475.35304
Kappeler, Thomas; Montalto, Riccardo
3
2021
Properties of the scattering map. II. Zbl 0694.34022
Kappeler, Thomas; Trubowitz, Eugene
3
1988
Analyticity of Riemannian exponential maps on \(\text{Diff}(T)\). Zbl 1160.22011
Kappeler, T.; Loubet, E.; Topalov, P.
3
2007
Sharp well-posedness results of the Benjamin-Ono equation in \(H^s(\mathbb{T},\mathbb{R})\) and qualitative properties of its solutions. Zbl 1533.35061
Gérard, Patrick; Kappeler, Thomas; Topalov, Peter
7
2023
On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. Zbl 1521.37085
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
7
2022
On the Benjamin-Ono equation on \(\mathbb{T}\) and its periodic and quasiperiodic solutions. Zbl 1495.37060
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
7
2022
On efficiency and localisation for the torsion function. Zbl 1505.35110
van den Berg, M.; Bucur, D.; Kappeler, T.
3
2022
Arnold-Liouville theorem for integrable PDEs: a case study of the focusing NLS equation. Zbl 1496.35362
Kappeler, T.; Topalov, P.
2
2022
On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354
Gérard, Patrick; Kappeler, Thomas
27
2021
Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
8
2021
On the stability of periodic multi-solitons of the KdV equation. Zbl 1475.35304
Kappeler, Thomas; Montalto, Riccardo
3
2021
Localization for the torsion function and the strong Hardy inequality. Zbl 07738354
van den Berg, M.; Kappeler, T.
3
2021
On nomalized differentials on spectral curves associated with the sinh-Gordon equation. Zbl 1510.37108
Kappeler, Thomas; Widmer, Yannick
1
2021
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
21
2020
Normal form coordinates for the KdV equation having expansions in terms of pseudodifferential operators. Zbl 1443.37055
Kappeler, Thomas; Montalto, Riccardo
3
2020
On an Arnold-Liouville type theorem for the focusing NLS and the focusing mKdV equations. Zbl 1473.35509
Kappeler, T.; Topalov, P.
3
2020
On the nonexistence of local, gauge-invariant Birkhoff coordinates for the focusing NLS equation. Zbl 1447.35298
Kappeler, Thomas; Topalov, Peter
2
2019
(Large) KAM tori for perturbations of the defocusing NLS equation. Zbl 1465.35002
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
16
2018
On the wellposedness of the KdV/KdV2 equations and their frequency maps. Zbl 1406.37050
Kappeler, Thomas; Molnar, Jan-Cornelius
12
2018
Canonical coordinates with tame estimates for the defocusing NLS equation on the circle. Zbl 1410.35202
Kappeler, Thomas; Montalto, Riccardo
4
2018
On spectral properties of the \(L\) operator in the Lax pair of the sine-Gordon equation. Zbl 1422.37050
Kappeler, Thomas; Widmer, Yannick
2
2018
Asymptotics of spectral quantities of Zakharov-Shabat operators. Zbl 1400.35195
Kappeler, T.; Schaad, B.; Topalov, P.
2
2018
On the wellposedness of the KdV equation on the space of pseudomeasures. Zbl 1393.37078
Kappeler, Thomas; Molnar, Jan
1
2018
Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. (Croissance de norme avec perte infinie de régularité pour les équations de Schrödinger périodiques en régularité négative.) Zbl 1428.35488
Carles, Rémi; Kappeler, Thomas
18
2017
Scattering-like phenomena of the periodic defocusing NLS equation. Zbl 1390.35330
Kappeler, T.; Schaad, B.; Topalov, P.
13
2017
On the well-posedness of the defocusing mKdV equation below \(L^{2}\). Zbl 1368.37078
Kappeler, Thomas; Molnar, Jan-Cornelius
11
2017
On normalized differentials on hyperelliptic curves of infinite genus. Zbl 1367.30026
Kappeler, Thomas; Topalov, Peter
2
2017
On the convexity of the KdV Hamiltonian. Zbl 1353.35251
Kappeler, Thomas; Maspero, Alberto; Molnar, Jan; Topalov, Peter
6
2016
Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation. Zbl 1404.35418
Kappeler, Thomas; Schaad, Beat; Topalov, Peter
6
2016
Correction to our article “Topology of random 2-complexes”. Zbl 1420.55032
Cohen, D.; Costa, A.; Farber, M.; Kappeler, T.
2
2016
From Toda to KdV. Zbl 1334.37078
Bambusi, D.; Kappeler, T.; Paul, T.
6
2015
Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255
Bambusi, D.; Kappeler, T.; Paul, T.
3
2015
On nonlinear interpolation. Zbl 1336.46022
Kappeler, T.; Topalov, P.
1
2015
The defocusing NLS equation and its normal form. Zbl 1298.35002
Grébert, Benoît; Kappeler, Thomas
57
2014
Isospectrality and heat content. Zbl 1297.58008
van den Berg, M.; Dryden, E. B.; Kappeler, T.
10
2014
Generic non-selfadjoint Zakharov-Shabat operators. Zbl 1319.47012
Kappeler, T.; Lohrmann, P.; Topalov, P.
3
2014
On the spectrum of nonself-adjoint Zakharov-Shabat operators on \(\mathbb R\). Zbl 1320.35247
Kappeler, T.; Lohrmann, P.; Topalov, P.
2
2014
On the regularity of the composition of diffeomorphisms. Zbl 1293.58004
Inci, H.; Kappeler, T.; Topalov, P.
65
2013
Qualitative features of periodic solutions of KdV. Zbl 1274.35330
Kappeler, T.; Schaad, B.; Topalov, P.
18
2013
Topology of random 2-complexes. Zbl 1237.55009
Cohen, D.; Costa, A.; Farber, M.; Kappeler, T.
31
2012
A KAM theorem for the defocusing NLS equation. Zbl 1234.35248
Kappeler, Thomas; Liang, Zhenguo
11
2012
Asymptotics of spectral quantities of Schrödinger operators. Zbl 1317.81119
Kappeler, T.; Schaad, B.; Topalov, P.
8
2012
Topics of stochastic algebraic topology. Zbl 1347.05225
Costa, A. E.; Farber, M.; Kappeler, T.
7
2012
On normalized differentials on families of curves of infinite genus. Zbl 1231.35204
Kappeler, T.; Lohrmann, P.; Topalov, P.
2
2011
Spectral theory and geometric analysis. International conference in honor of Mikhail Shubin’s 65th birthday, Northeastern University, Boston, MA, USA, July 29 – August 2, 2009. Zbl 1207.58001
1
2011
On the space of trajectories of a generic gradient like vector field. Zbl 1240.37016
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
2
2010
Birkhoff coordinates for the focusing NLS equation. Zbl 1176.35168
Kappeler, T.; Lohrmann, P.; Topalov, P.; Zung, N. T.
15
2009
On the periodic KdV equation in weighted Sobolev spaces. Zbl 1177.35199
Kappeler, Thomas; Pöschel, Jürgen
9
2009
Resonant normal form for even periodic FPU chains. Zbl 1181.37081
Henrici, Andreas; Kappeler, Thomas
9
2009
On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. Zbl 1191.47060
Kappeler, T.; Serier, F.; Topalov, P.
5
2009
Nekhoroshev theorem for the periodic Toda lattice. Zbl 1317.37057
Henrici, Andreas; Kappeler, Thomas
5
2009
From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110
Bambusi, Dario; Kappeler, Thomas; Paul, Thierry
4
2009
Refined analytic torsion. Zbl 1147.58034
Braverman, Maxim; Kappeler, Thomas
21
2008
Results on normal forms for FPU chains. Zbl 1168.70005
Henrici, Andreas; Kappeler, Thomas
16
2008
Global action-angle variables for the periodic Toda lattice. Zbl 1166.37026
Henrici, Andreas; Kappeler, Thomas
12
2008
Global Birkhoff coordinates for the periodic Toda lattice. Zbl 1167.37029
Henrici, Andreas; Kappeler, Thomas
10
2008
Betti numbers of random manifolds. Zbl 1136.55014
Farber, Michael; Kappeler, Thomas
8
2008
Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087
Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P.
8
2008
A canonical quadratic form on the determinant line of a flat vector bundle. Zbl 1146.58023
Braverman, Maxim; Kappeler, Thomas
6
2008
mKdV and its Birkhoff coordinates. Zbl 1143.76400
Kappeler, T.; Schaad, B.; Topalov, P.
6
2008
Riemannian exponential maps of the diffeomorphism group of \(\mathbb T^2\). Zbl 1161.58008
Kappeler, Thomas; Loubet, Enrique; Topalov, Peter
6
2008
Birkhoff normal form for the periodic Toda lattice. Zbl 1149.37031
Henrici, Andreas; Kappeler, Thomas
5
2008
On the symplectic phase space of KdV. Zbl 1167.35039
Kappeler, T.; Serier, F.; Topalov, P.
5
2008
On the well-posedness of the periodic KdV equation in high regularity classes. Zbl 1251.35130
Kappeler, Thomas; Pöschel, Jürgen
3
2008
Inverse spectral results on even dimensional tori. Zbl 1159.58015
Gordon, Carolyn S.; Guerini, Pierre; Kappeler, Thomas; Webb, David L.
3
2008
On geodesic exponential maps of the Virasoro group. Zbl 1121.35111
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P.
110
2007
Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045
de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter
26
2007
Refined analytic torsion as an element of the determinant line. Zbl 1135.58014
Braverman, Maxim; Kappeler, Thomas
19
2007
Comparison of the refined analytic and the Burghelea-Haller torsions. Zbl 1147.58033
Braverman, Maxim; Kappeler, Thomas
11
2007
Ray-Singer type theorem for the refined analytic torsion. Zbl 1122.58018
Braverman, Maxim; Kappeler, Thomas
10
2007
Analyticity of Riemannian exponential maps on \(\text{Diff}(T)\). Zbl 1160.22011
Kappeler, T.; Loubet, E.; Topalov, P.
3
2007
Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\). Zbl 1106.35081
Kappeler, T.; Topalov, P.
107
2006
Global well-posedness of mKdV in \(L^2 (\mathbb T, \mathbb R)\). Zbl 1080.35119
Kappeler, T.; Topalov, P.
30
2005
The Miura map on the line. Zbl 1089.35058
Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter
20
2005
Birkhoff coordinates for KdV on phase spaces of distributions. Zbl 1089.37042
Kappeler, T.; Möhr, C.; Topalov, P.
13
2005
A refinement of the Ray-Singer torsion. Zbl 1086.58015
Braverman, Maxim; Kappeler, Thomas
9
2005
Riccati map on \(L_{0}^{2}(\mathbb T)\) and its applications. Zbl 1085.34067
Kappeler, Thomas; Topalov, Peter
6
2005
Counting solutions of perturbed harmonic map equations. Zbl 1092.58012
Kappeler, Thomas; Latschev, Janko
2
2005
Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037
Kappeler, T.; Schroeder, V.; Kuksin, S.
1
2005
Global fold structure of the Miura map on \(L^2({\mathbb{T}})\). Zbl 1076.35111
Kappeler, T.; Topalov, P.
10
2004
Well-posedness of KdV on \(H^{-1}(\mathbb T)\). Zbl 1101.35367
Kappeler, T.; Topalov, P.
6
2004
A note on gaps of Hill’s equation. Zbl 1082.34072
Grébert, Benoît; Kappeler, Thomas; Pöschel, Jürgen
4
2004
Lyapunov 1-forms for flows. Zbl 1087.37012
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E.
2
2004
Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007
Farber, M.; Kappeler, T.
2
2004
Smooth Lyapunov 1-forms. Zbl 1084.37014
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E.
2
2004
KdV & KAM. Zbl 1032.37001
Kappeler, Thomas; Pöschel, Jürgen
154
2003
Perturbations of the defocusing nonlinear Schrödinger equation. Zbl 1048.37067
Grébert, B.; Kappeler, T.
6
2003
Perturbations of the harmonic map equation. Zbl 1063.58012
Kappeler, T.; Kuksin, S.; Schroeder, V.
5
2003
Riccati representation for elements in \(H^{-1}(\mathbb{T})\) and its applications. Zbl 1529.47081
Kappeler, Thomas; Topalov, Peter
4
2003
On the Korteweg-de Vries equation and KAM theory. Zbl 1033.35101
Kappeler, Thomas; Pöschel, Jürgen
2
2003
Density of finite gap potentials for the Zakharov-Shabat system. Zbl 1037.34078
Grébert, B.; Kappeler, T.
1
2003
Symmetries of the nonlinear Schrödinger equation. Zbl 1044.35088
Grébert, Benoît; Kappeler, Thomas
8
2002
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator. Zbl 1097.34553
Kappeler, T.; Mityagin, B.
23
2001
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials. Zbl 1004.34077
Kappeler, T.; Möhr, C.
18
2001
On Birkhoff coordinates for KdV. Zbl 1017.76015
Kappeler, T.; Makarov, M.
11
2001
Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system. Zbl 0982.34073
Grébert, B.; Kappeler, T.
8
2001
Relative torsion. Zbl 0994.58018
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
4
2001
On action-angle variables for the second Poisson bracket of KdV. Zbl 1003.37038
Kappeler, T.; Makarov, M.
4
2000
Gap estimates of the spectrum of Hill’s equation and action variables for KdV. Zbl 0924.58074
Kappeler, T.; Mityagin, B.
15
1999
Torsions for manifolds with boundary and glueing formulas. Zbl 0959.58041
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
10
1999
Gap estimates of the spectrum of the Zakharov-Shabat system. Zbl 0940.35186
Grébert, B.; Kappeler, T.; Mityagin, B.
11
1998
On the Birkhoff normal form of a completely integrable Hamiltonian system near a fixed point with resonance. Zbl 0919.58030
Kappeler, Thomas; Kodama, Yuji; Némethi, Andras
5
1998
Written deformation of the analytic torsion and the Reidemeister torsion. Zbl 0907.58070
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
2
1998
...and 44 more Documents
all top 5

Cited by 1,024 Authors

70 Kappeler, Thomas
29 Topalov, Peter J.
22 Geng, Jiansheng
21 Himonas, A. Alexandrou
20 Mi, Yongsheng
19 Farber, Michael S.
19 Lee, Yoonweon
17 Kirsten, Klaus
15 Bambusi, Dario
15 Kolev, Boris
15 Montalto, Riccardo
14 Bauer, Martin
14 Berti, Massimiliano
14 Liu, Yue
13 Maspero, Alberto
12 Braverman, Maxim
12 Gerard, Patrick
12 Mu, Chunlai
12 Vega, Luis
11 Bruveris, Martins
11 Burghelea, Dan
11 Costa, Armindo
11 Guo, Boling
11 Lou, Zhaowei
11 Mityagin, Boris Samuilovich
11 Oh, Tadahiro
11 Ponce, Gustavo
11 Procesi, Michela
11 Tataru, Daniel
10 Korotyaev, Evgeny L.
10 Naumkin, Pavel Ivanovich
10 Visan, Monica
9 Djakov, Plamen B.
9 Gesztesy, Fritz
9 Hayashi, Nakao
9 Inci, Hasan
9 Kenig, Carlos Eduardo
9 Killip, Rowan
9 Lai, Shaoyong
9 Mi, Lufang
9 Qu, Changzheng
8 Lenells, Jonatan
8 Michor, Peter Wolfram
8 Park, Jinsung
8 Rybkin, Alexei
8 Si, Jianguo
8 Su, Guangxiang
8 Yan, Fangchi
7 Baldi, Pietro
7 Banica, Valeria
7 Escher, Joachim
7 Friedlander, Leonid
7 Kuksin, Sergeĭ B.
7 Loya, Paul A.
7 Nakamura, Shu
7 Ponno, Antonio
7 Shen, Chunyu
7 Tzvetkov, Nikolay
7 Vertman, Boris
7 Xu, XinDong
7 Yuan, Xiaoping
6 Gao, Anna
6 Ge, Chuanfang
6 Grébert, Benoît
6 Haller, Stefan
6 Huang, Rung-Tzung
6 Kalvin, Victor
6 Khasanov, Aknazar Bekdurdievich
6 Koch, Herbert
6 Kokotov, Aleksey
6 Preston, Stephen C.
6 Tian, Lixin
6 Vera Villagrán, Octavio Paulo
5 Damanik, David
5 Feola, Roberto
5 Fu, Ying
5 Galego, Elói Medina
5 Giuliani, Filippo
5 Grudsky, Sergei Mikhailovich
5 Harms, Philipp
5 Levandosky, Julie L.
5 Liang, Zhenguo
5 Liu, Wencai
5 Mathai, Varghese
5 Metcalfe, Jason L.
5 Misiołek, Gerard
5 Molinet, Luc
5 Molnar, Jan-Cornelius
5 Petronilho, Gerson
5 Schaad, Beat
5 Staffilani, Gigliola
5 Teschl, Gerald
5 Xue, Shuaishuai
5 Yin, Zhaoyang
4 Ambrose, David M.
4 Ben-Artzi, Matania
4 Bona, Jerry Lloyd
4 Chang, Ningning
4 Cheng, Hongyu
4 Cong, Hongzi
...and 924 more Authors
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Cited in 242 Serials

65 Journal of Differential Equations
53 Communications in Mathematical Physics
45 Journal of Functional Analysis
38 Journal of Mathematical Physics
32 Proceedings of the American Mathematical Society
30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Discrete and Continuous Dynamical Systems
26 Journal of Dynamics and Differential Equations
25 Journal of Mathematical Analysis and Applications
23 Communications in Partial Differential Equations
18 Transactions of the American Mathematical Society
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 SIAM Journal on Mathematical Analysis
15 Duke Mathematical Journal
14 Archive for Rational Mechanics and Analysis
14 Nonlinearity
13 Applicable Analysis
13 Communications on Pure and Applied Mathematics
13 Advances in Mathematics
13 Annals of Global Analysis and Geometry
12 Physica D
11 Inventiones Mathematicae
11 Journal of Nonlinear Mathematical Physics
10 Mathematische Annalen
10 The Journal of Geometric Analysis
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Journal of Geometry and Physics
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Calculus of Variations and Partial Differential Equations
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Letters in Mathematical Physics
8 Annales de l’Institut Fourier
7 Journal d’Analyse Mathématique
7 Mathematical Methods in the Applied Sciences
7 Random Structures & Algorithms
7 NoDEA. Nonlinear Differential Equations and Applications
7 Séminaire Laurent Schwartz. EDP et Applications
6 Mathematische Zeitschrift
6 Monatshefte für Mathematik
6 Journal of Physics A: Mathematical and Theoretical
6 Journal of Topology and Analysis
6 Analysis and Mathematical Physics
5 Journal of Statistical Physics
5 Physics Letters. A
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Mathematische Nachrichten
5 Studies in Applied Mathematics
5 Discrete & Computational Geometry
5 Geometric and Functional Analysis. GAFA
5 Journal of Nonlinear Science
5 Journal of the European Mathematical Society (JEMS)
5 Communications in Contemporary Mathematics
5 Nonlinear Analysis. Real World Applications
5 Journal of Evolution Equations
5 Communications on Pure and Applied Analysis
5 Journal of Hyperbolic Differential Equations
5 Journal of Spectral Theory
5 Forum of Mathematics, Sigma
4 Mathematical Notes
4 Russian Mathematical Surveys
4 Wave Motion
4 Reviews in Mathematical Physics
4 Integral Equations and Operator Theory
4 Journal of Computational and Applied Mathematics
4 Manuscripta Mathematica
4 Memoirs of the American Mathematical Society
4 Probability Theory and Related Fields
4 Differential Geometry and its Applications
4 Bulletin of the American Mathematical Society. New Series
4 Russian Journal of Mathematical Physics
4 Vietnam Journal of Mathematics
4 Geometry & Topology
4 Regular and Chaotic Dynamics
4 Journal of Geometric Mechanics
3 Israel Journal of Mathematics
3 Theoretical and Mathematical Physics
3 Applied Mathematics and Computation
3 Glasgow Mathematical Journal
3 Illinois Journal of Mathematics
3 Quarterly of Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Annals of Physics
3 Stochastic Processes and their Applications
3 Journal of Knot Theory and its Ramifications
3 Abstract and Applied Analysis
3 Journal of High Energy Physics
3 Algebraic & Geometric Topology
3 Oberwolfach Reports
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Analysis & PDE
3 Nonlinear Analysis. Theory, Methods & Applications
3 Journal de l’École Polytechnique – Mathématiques
3 Pure and Applied Analysis
2 Inverse Problems
2 Acta Mathematica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Indiana University Mathematics Journal
2 Journal für die Reine und Angewandte Mathematik
2 Mathematika
...and 142 more Serials
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Cited in 51 Fields

725 Partial differential equations (35-XX)
317 Dynamical systems and ergodic theory (37-XX)
178 Global analysis, analysis on manifolds (58-XX)
109 Operator theory (47-XX)
105 Ordinary differential equations (34-XX)
100 Fluid mechanics (76-XX)
85 Quantum theory (81-XX)
50 Probability theory and stochastic processes (60-XX)
47 Mechanics of particles and systems (70-XX)
41 Differential geometry (53-XX)
38 Functional analysis (46-XX)
35 Combinatorics (05-XX)
32 Manifolds and cell complexes (57-XX)
31 Statistical mechanics, structure of matter (82-XX)
30 Algebraic topology (55-XX)
26 Numerical analysis (65-XX)
17 Algebraic geometry (14-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 Functions of a complex variable (30-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
13 Several complex variables and analytic spaces (32-XX)
12 Mechanics of deformable solids (74-XX)
11 Number theory (11-XX)
11 Systems theory; control (93-XX)
10 Difference and functional equations (39-XX)
9 Group theory and generalizations (20-XX)
9 Optics, electromagnetic theory (78-XX)
8 Topological groups, Lie groups (22-XX)
8 Computer science (68-XX)
7 Special functions (33-XX)
7 Geophysics (86-XX)
5 Integral transforms, operational calculus (44-XX)
5 Relativity and gravitational theory (83-XX)
4 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Nonassociative rings and algebras (17-XX)
4 \(K\)-theory (19-XX)
4 Real functions (26-XX)
4 Convex and discrete geometry (52-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Integral equations (45-XX)
2 Approximations and expansions (41-XX)
2 General topology (54-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

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