×

Staffilani, Gigliola

Author ID: staffilani.gigliola Recent zbMATH articles by "Staffilani, Gigliola"
Published as: Staffilani, Gigliola; Staffilani, G.; Staffilani, Gigiola
Homepage: http://math.mit.edu/~gigliola/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
Videos: carmin.tv
all top 5

Co-Authors

6 single-authored
23 Colliander, James E.
16 Takaoka, Hideo
15 Keel, Markus
15 Tao, Terence
14 Nahmod, Andrea R.
11 Pavlović, Nataša
9 Kenig, Carlos Eduardo
7 Rosenzweig, Matthew
5 Tran, Minh-Binh
4 De Silva, Daniela
4 Fan, Chenjie
4 Mendelson, Dana
4 Tzirakis, Nikolaos
4 Wilson, Bobby
3 Ionescu, Alexandru D.
3 Wang, Hong
2 Christianson, Hans
2 Ecker, Klaus
2 Federico, Serena
2 Grande, Ricardo
2 Hannani, Amirali
2 Hur, Vera Mikyoung
2 Kirkpatrick, Kay Lene
2 Kurianski, Kristin M.
2 Lührmann, Jonas
2 Pollack, Daniel
2 Rey-Bellet, Luc
2 Rodnianski, Igor
2 Shatah, Jalal
2 Sohinger, Vedran
2 Struwe, Michael
2 Toro, Tatiana
1 Aryan, Shrey
1 Banica, Valeria
1 Bianchini, Roberta
1 Bringmann, Björn
1 Buckmaster, Tristan
1 Cacchio’, Yuri
1 Camps, Nicolas
1 Cao-Labora, Gonzalo
1 Carles, Rémi
1 Chanillo, Sagun
1 Compaan, Erin
1 Czubak, Magdalena
1 Daubechies, Ingrid
1 Delbaen, Freddy
1 Delort, Jean-Marc
1 Domenicale, Loris
1 Ellwood, David Alexandre
1 Fraternale, Federico
1 Garrido, Miguel Angel
1 Germain, Pierre
1 Gómez-Serrano, Javier
1 Gressman, Philip T.
1 Guth, Lawrence David
1 Hrabski, Alexander
1 Jitomirskaya, Svetlana Yakovlevna
1 Klainerman, Sergiu
1 Kontorovich, Alex V.
1 Krieger, Joachim
1 Lamm, Tobias
1 Lenzmann, Enno
1 Lindenstrauss, Elon
1 Luca, Renato
1 Miller, Joseph K.
1 Milman, Vitali D.
1 Natalini, Roberto
1 Oh, Tadahiro
1 Ou, Yumeng
1 Pan, Yulin
1 Pausader, Benoît
1 Pisier, Gilles
1 Rubinstein, Yanir A.
1 Rudnick, Zeév
1 Sarnak, Peter Clive
1 Schlag, Wilhelm
1 Schlein, Benjamin
1 Sheffield, Scott
1 Shen, Ruipeng
1 Shi, Jia
1 Tataru, Daniel
1 Tordella, Daniela
1 Totz, Nathan
1 Varjú, Péter Pál
1 Weber, Hendrik
1 Widmayer, Klaus
1 Wu, Sijue
1 Wunsch, Jared
1 Yu, Xueying
1 Zhao, Zehua
all top 5

Serials

5 SIAM Journal on Mathematical Analysis
5 Discrete and Continuous Dynamical Systems
4 IMRN. International Mathematics Research Notices
4 Communications in Partial Differential Equations
4 Communications on Pure and Applied Analysis
3 Transactions of the American Mathematical Society
3 Geometric and Functional Analysis. GAFA
3 Mathematical Research Letters
3 Oberwolfach Reports
3 Analysis & PDE
2 Archive for Rational Mechanics and Analysis
2 Communications in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Advances in Mathematics
2 Duke Mathematical Journal
2 Journal of Functional Analysis
2 Differential and Integral Equations
2 Electronic Journal of Differential Equations (EJDE)
2 Journal of the European Mathematical Society (JEMS)
2 Stochastic and Partial Differential Equations. Analysis and Computations
1 Journal of Mathematical Physics
1 Acta Mathematica
1 American Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Mathematische Annalen
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Physica D
1 Probability Theory and Related Fields
1 Journal of the American Mathematical Society
1 Notices of the American Mathematical Society
1 Communications in Analysis and Geometry
1 The Journal of Fourier Analysis and Applications
1 European Mathematical Society Newsletter
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Moscow Mathematical Journal
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Clay Mathematics Proceedings
1 Forum of Mathematics, Sigma
1 Mathematics in Engineering

Publications by Year

Citations contained in zbMATH Open

71 Publications have been cited 2,442 times in 1,574 Documents Cited by Year
Sharp global well-posedness for KdV and modified KdV on \(\mathbb R\) and \(\mathbb T\). Zbl 1025.35025
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
349
2003
Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\). Zbl 1178.35345
Colliander, James; Keel, Markus; Staffilani, Gigiola; Takaoka, Hideo; Tao, Terence
250
2008
Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation. Zbl 1197.35265
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence
145
2010
On the continuum limit for discrete NLS with long-range lattice interactions. Zbl 1258.35182
Kirkpatrick, Kay; Lenzmann, Enno; Staffilani, Gigliola
130
2013
Multilinear estimates for periodic KdV equations, and applications. Zbl 1062.35109
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
97
2004
Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Zbl 1010.35015
Staffilani, Gigliola; Tataru, Daniel
95
2002
Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation. Zbl 1152.35491
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
93
2002
Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on \(\mathbb R^3\). Zbl 1060.35131
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
90
2004
A refined global well-posedness result for Schrödinger equations with derivative. Zbl 1034.35120
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
87
2002
Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics. Zbl 1208.81080
Kirkpatrick, Kay; Schlein, Benjamin; Staffilani, Gigliola
80
2011
Global well-posedness for Schrödinger equations with derivative. Zbl 1002.35113
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
80
2001
Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS. Zbl 1251.35151
Nahmod, Andrea R.; Oh, Tadahiro; Rey-Bellet, Luc; Staffilani, Gigliola
60
2012
Global well-posedness for KdV in Sobolev spaces of negative index. Zbl 0967.35119
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
52
2001
On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations. Zbl 0874.35114
Staffilani, Gigliola
47
1997
Bilinear estimates and applications to 2d NLS. Zbl 0970.35142
Colliander, J. E.; Delort, J.-M.; Kenig, C. E.; Staffilani, G.
44
2001
A new approach to study the Vlasov-Maxwell system. Zbl 1037.35088
Klainerman, Sergiu; Staffilani, Gigliola
43
2002
On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215
Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola
39
2012
Almost sure existence of global weak solutions for supercritical Navier-Stokes equations. Zbl 1355.76018
Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola
36
2013
Regularity of solutions to the Navier-Stokes equations evolving from small data in \(\mathrm{BMO}^{-1}\). Zbl 1148.35063
Germain, Pierre; Pavlovic, Nataša; Staffilani, Gigliola
36
2007
Resonant decompositions and the \(I\)-method for the cubic nonlinear Schrödinger equation on \(\mathbb R^2\). Zbl 1147.35095
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
33
2008
On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy. Zbl 1297.35215
Gressman, Philip; Sohinger, Vedran; Staffilani, Gigliola
32
2014
Absolute continuity of Brownian bridges under certain gauge transformations. Zbl 1250.60018
Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola
32
2011
On the generalized Korteweg-de Vries type equations. Zbl 0891.35135
Staffilani, Gigliola
32
1997
Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space. Zbl 1326.35353
Nahmod, Andrea R.; Staffilani, Gigliola
30
2015
Strichartz estimates for the water-wave problem with surface tension. Zbl 1280.35107
Christianson, Hans; Hur, Vera Mikyoung; Staffilani, Gigliola
29
2010
Semilinear Schrödinger flows on hyperbolic spaces: scattering in \(H^{1}\). Zbl 1203.35262
Ionescu, Alexandru D.; Staffilani, Gigliola
27
2009
Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D. Zbl 1293.35291
De Silva, Daniela; Pavlović, Nataša; Staffilani, Gigliola; Tzirakis, Nikolaos
26
2007
Quadratic forms for a 2-D semilinear Schrödinger equation. Zbl 0872.35104
Staffilani, Gigliola
24
1997
On the global well-posedness of the one-dimensional Schrödinger map flow. Zbl 1191.35258
Rodnianski, Igor; Rubinstein, Yanir A.; Staffilani, Gigliola
23
2009
Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198
Banica, Valeria; Carles, Rémi; Staffilani, Gigliola
21
2008
Randomization and the Gross-Pitaevskii hierarchy. Zbl 1372.35287
Sohinger, Vedran; Staffilani, Gigliola
17
2015
The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208
Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana
17
2010
Local well-posedness for dispersion-generalized Benjamin-Ono equations. Zbl 1075.35548
Colliander, J.; Kenig, C.; Staffilani, G.
16
2003
Pointwise convergence of the Schrödinger flow. Zbl 1476.35231
Compaan, Erin; Lucà, Renato; Staffilani, Gigliola
16
2021
Symplectic nonsqueezing of the Korteweg-de Vries flow. Zbl 1105.35104
Colliander, James; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo
16
2005
On solutions for periodic generalized KdV equations. Zbl 0932.35177
Staffilani, Gigliola
16
1997
Global flows with invariant measures for the inviscid modified SQG equations. Zbl 1406.35413
Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola; Totz, Nathan
14
2018
Global wellposedness for KdV below \(L^2\). Zbl 0959.35144
Colliander, J.; Staffilani, G.; Takaoka, H.
12
1999
Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm. Zbl 1028.35141
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
12
2003
On a bilinear Strichartz estimate on irrational tori. Zbl 1383.35209
Fan, Chenjie; Staffilani, Gigliola; Wang, Hong; Wilson, Bobby
10
2018
Low regularity solutions for the Kadomtsev-Petviashvili I equation. Zbl 1039.35097
Colliander, J.; Kenig, C.; Staffilani, G.
9
2003
A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation. Zbl 1436.81031
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Rosenzweig, Matthew; Staffilani, Gigliola
9
2020
Weighted low-regularity solutions of the KP-I initial-value problem. Zbl 1142.35076
Colliander, J.; Ionescu, A. D.; Kenig, C. E.; Staffilani, G.
9
2008
Randomness and nonlinear evolution equations. Zbl 1419.35255
Nahmod, Andrea R.; Staffilani, Gigliola
8
2019
Global well-posedness and polynomial bounds for the defocusing \(L^{2}\)-critical nonlinear Schrödinger equation in \(\mathbb R\). Zbl 1155.35310
de Silva, Daniela; Pavlović, Nataša; Staffilani, Gigliola; Tzirakis, Nikolaos
8
2008
Global well-posedness for the \(L^2\) critical nonlinear Schrödinger equation in higher dimensions. Zbl 1152.35106
de Silva, Daniela; Pavlović, Nataša; Staffilani, Gigliola; Tzirakis, Nikolaos
8
2007
Local well-posedness for higher order nonlinear dispersive systems. Zbl 0884.35116
Kenig, Carlos E.; Staffilani, Gigliola
7
1997
An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on \(\mathbb{R}\). Zbl 1416.35243
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola
6
2019
2D-defocusing nonlinear Schrödinger equation with random data on irrational tori. Zbl 1479.35269
Fan, Chenjie; Ou, Yumeng; Staffilani, Gigliola; Wang, Hong
6
2021
Almost sure boundedness of iterates for derivative nonlinear wave equations. Zbl 1451.35092
Chanillo, Sagun; Czubak, Magdalena; Mendelso, Dana; Nahmod, Andrea; Staffilani, Gigliola
6
2020
On solutions for the Kadomtsev-Petviashvili I equation. Zbl 1002.35108
Colliander, J.; Kenig, C.; Staffilani, G.
5
2001
A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on \(\mathbb R^2\). Zbl 1339.35190
Shen, Ruipeng; Staffilani, Gigliola
4
2016
Local smoothing effects for the water-wave problem with surface tension. Zbl 1168.35324
Christianson, Hans; Hur, Vera Mikyoung; Staffilani, Gigliola
4
2009
On the high-low method for NLS on the hyperbolic space. Zbl 1454.35351
Staffilani, Gigliola; Yu, Xueying
4
2020
The surface quasi-geostrophic equation with random diffusion. Zbl 1473.35577
Buckmaster, Tristan; Nahmod, Andrea; Staffilani, Gigliola; Widmayer, Klaus
4
2020
Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory. Zbl 1539.35244
Rosenzweig, Matthew; Staffilani, Gigliola
4
2022
Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm. Zbl 1041.35070
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
3
2003
Low regularity stability of solitons for the KdV equation. Zbl 1054.35084
Raynor, S.; Staffilani, G.
3
2003
Stability of the cubic nonlinear Schrodinger equation on an irrational torus. Zbl 1434.37043
Staffilani, Gigliola; Wilson, Bobby
3
2020
KdV and almost conservation laws. Zbl 1046.35100
Staffilani, G.
3
2003
Smoothing effect for time-degenerate Schrödinger operators. Zbl 1470.35297
Federico, Serena; Staffilani, Gigliola
3
2021
On the nonlinear Dysthe equation. Zbl 1464.35224
Grande, Ricardo; Kurianski, Kristin M.; Staffilani, Gigliola
3
2021
The theory of nonlinear Schrödinger equations. Zbl 1298.35204
Staffilani, G.
2
2013
Poisson commuting energies for a system of infinitely many bosons. Zbl 1504.35493
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Rosenzweig, Matthew; Staffilani, Gigliola
2
2022
Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation. Zbl 1525.35072
Krieger, Joachim; Lührmann, Jonas; Staffilani, Gigliola
2
2023
Large deviations principle for the cubic NLS equation. Zbl 1527.35378
Garrido, Miguel Angel; Grande, Ricardo; Kurianski, Kristin M.; Staffilani, Gigliola
2
2023
The wave maps equation and Brownian paths. Zbl 1534.35261
Bringmann, Bjoern; Lührmann, Jonas; Staffilani, Gigliola
2
2024
Sharp Strichartz estimates for some variable coefficient Schrödinger operators on \(\mathbb{R}\times\mathbb{T}^2 \). Zbl 1500.35249
Federico, Serena; Staffilani, Gigliola
2
2022
The energy-critical nonlinear Schrödinger equation in \(\mathbb R^3\). Zbl 1133.35091
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
1
2007
On decaying properties of nonlinear Schrödinger equations. Zbl 1539.35232
Fan, Chenjie; Staffilani, Gigliola; Zhao, Zehua
1
2024
Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22–28, 2022. Zbl 1519.00026
1
2022
The wave maps equation and Brownian paths. Zbl 1534.35261
Bringmann, Bjoern; Lührmann, Jonas; Staffilani, Gigliola
2
2024
On decaying properties of nonlinear Schrödinger equations. Zbl 1539.35232
Fan, Chenjie; Staffilani, Gigliola; Zhao, Zehua
1
2024
Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation. Zbl 1525.35072
Krieger, Joachim; Lührmann, Jonas; Staffilani, Gigliola
2
2023
Large deviations principle for the cubic NLS equation. Zbl 1527.35378
Garrido, Miguel Angel; Grande, Ricardo; Kurianski, Kristin M.; Staffilani, Gigliola
2
2023
Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory. Zbl 1539.35244
Rosenzweig, Matthew; Staffilani, Gigliola
4
2022
Poisson commuting energies for a system of infinitely many bosons. Zbl 1504.35493
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Rosenzweig, Matthew; Staffilani, Gigliola
2
2022
Sharp Strichartz estimates for some variable coefficient Schrödinger operators on \(\mathbb{R}\times\mathbb{T}^2 \). Zbl 1500.35249
Federico, Serena; Staffilani, Gigliola
2
2022
Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22–28, 2022. Zbl 1519.00026
1
2022
Pointwise convergence of the Schrödinger flow. Zbl 1476.35231
Compaan, Erin; Lucà, Renato; Staffilani, Gigliola
16
2021
2D-defocusing nonlinear Schrödinger equation with random data on irrational tori. Zbl 1479.35269
Fan, Chenjie; Ou, Yumeng; Staffilani, Gigliola; Wang, Hong
6
2021
Smoothing effect for time-degenerate Schrödinger operators. Zbl 1470.35297
Federico, Serena; Staffilani, Gigliola
3
2021
On the nonlinear Dysthe equation. Zbl 1464.35224
Grande, Ricardo; Kurianski, Kristin M.; Staffilani, Gigliola
3
2021
A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation. Zbl 1436.81031
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Rosenzweig, Matthew; Staffilani, Gigliola
9
2020
Almost sure boundedness of iterates for derivative nonlinear wave equations. Zbl 1451.35092
Chanillo, Sagun; Czubak, Magdalena; Mendelso, Dana; Nahmod, Andrea; Staffilani, Gigliola
6
2020
On the high-low method for NLS on the hyperbolic space. Zbl 1454.35351
Staffilani, Gigliola; Yu, Xueying
4
2020
The surface quasi-geostrophic equation with random diffusion. Zbl 1473.35577
Buckmaster, Tristan; Nahmod, Andrea; Staffilani, Gigliola; Widmayer, Klaus
4
2020
Stability of the cubic nonlinear Schrodinger equation on an irrational torus. Zbl 1434.37043
Staffilani, Gigliola; Wilson, Bobby
3
2020
Randomness and nonlinear evolution equations. Zbl 1419.35255
Nahmod, Andrea R.; Staffilani, Gigliola
8
2019
An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on \(\mathbb{R}\). Zbl 1416.35243
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola
6
2019
Global flows with invariant measures for the inviscid modified SQG equations. Zbl 1406.35413
Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola; Totz, Nathan
14
2018
On a bilinear Strichartz estimate on irrational tori. Zbl 1383.35209
Fan, Chenjie; Staffilani, Gigliola; Wang, Hong; Wilson, Bobby
10
2018
A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on \(\mathbb R^2\). Zbl 1339.35190
Shen, Ruipeng; Staffilani, Gigliola
4
2016
Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space. Zbl 1326.35353
Nahmod, Andrea R.; Staffilani, Gigliola
30
2015
Randomization and the Gross-Pitaevskii hierarchy. Zbl 1372.35287
Sohinger, Vedran; Staffilani, Gigliola
17
2015
On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy. Zbl 1297.35215
Gressman, Philip; Sohinger, Vedran; Staffilani, Gigliola
32
2014
On the continuum limit for discrete NLS with long-range lattice interactions. Zbl 1258.35182
Kirkpatrick, Kay; Lenzmann, Enno; Staffilani, Gigliola
130
2013
Almost sure existence of global weak solutions for supercritical Navier-Stokes equations. Zbl 1355.76018
Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola
36
2013
The theory of nonlinear Schrödinger equations. Zbl 1298.35204
Staffilani, G.
2
2013
Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS. Zbl 1251.35151
Nahmod, Andrea R.; Oh, Tadahiro; Rey-Bellet, Luc; Staffilani, Gigliola
60
2012
On the global well-posedness of energy-critical Schrödinger equations in curved spaces. Zbl 1264.35215
Ionescu, Alexandru D.; Pausader, Benoit; Staffilani, Gigliola
39
2012
Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics. Zbl 1208.81080
Kirkpatrick, Kay; Schlein, Benjamin; Staffilani, Gigliola
80
2011
Absolute continuity of Brownian bridges under certain gauge transformations. Zbl 1250.60018
Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola
32
2011
Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation. Zbl 1197.35265
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence
145
2010
Strichartz estimates for the water-wave problem with surface tension. Zbl 1280.35107
Christianson, Hans; Hur, Vera Mikyoung; Staffilani, Gigliola
29
2010
The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208
Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana
17
2010
Semilinear Schrödinger flows on hyperbolic spaces: scattering in \(H^{1}\). Zbl 1203.35262
Ionescu, Alexandru D.; Staffilani, Gigliola
27
2009
On the global well-posedness of the one-dimensional Schrödinger map flow. Zbl 1191.35258
Rodnianski, Igor; Rubinstein, Yanir A.; Staffilani, Gigliola
23
2009
Local smoothing effects for the water-wave problem with surface tension. Zbl 1168.35324
Christianson, Hans; Hur, Vera Mikyoung; Staffilani, Gigliola
4
2009
Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\). Zbl 1178.35345
Colliander, James; Keel, Markus; Staffilani, Gigiola; Takaoka, Hideo; Tao, Terence
250
2008
Resonant decompositions and the \(I\)-method for the cubic nonlinear Schrödinger equation on \(\mathbb R^2\). Zbl 1147.35095
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
33
2008
Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. Zbl 1186.35198
Banica, Valeria; Carles, Rémi; Staffilani, Gigliola
21
2008
Weighted low-regularity solutions of the KP-I initial-value problem. Zbl 1142.35076
Colliander, J.; Ionescu, A. D.; Kenig, C. E.; Staffilani, G.
9
2008
Global well-posedness and polynomial bounds for the defocusing \(L^{2}\)-critical nonlinear Schrödinger equation in \(\mathbb R\). Zbl 1155.35310
de Silva, Daniela; Pavlović, Nataša; Staffilani, Gigliola; Tzirakis, Nikolaos
8
2008
Regularity of solutions to the Navier-Stokes equations evolving from small data in \(\mathrm{BMO}^{-1}\). Zbl 1148.35063
Germain, Pierre; Pavlovic, Nataša; Staffilani, Gigliola
36
2007
Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D. Zbl 1293.35291
De Silva, Daniela; Pavlović, Nataša; Staffilani, Gigliola; Tzirakis, Nikolaos
26
2007
Global well-posedness for the \(L^2\) critical nonlinear Schrödinger equation in higher dimensions. Zbl 1152.35106
de Silva, Daniela; Pavlović, Nataša; Staffilani, Gigliola; Tzirakis, Nikolaos
8
2007
The energy-critical nonlinear Schrödinger equation in \(\mathbb R^3\). Zbl 1133.35091
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
1
2007
Symplectic nonsqueezing of the Korteweg-de Vries flow. Zbl 1105.35104
Colliander, James; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo
16
2005
Multilinear estimates for periodic KdV equations, and applications. Zbl 1062.35109
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
97
2004
Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on \(\mathbb R^3\). Zbl 1060.35131
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
90
2004
Sharp global well-posedness for KdV and modified KdV on \(\mathbb R\) and \(\mathbb T\). Zbl 1025.35025
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
349
2003
Local well-posedness for dispersion-generalized Benjamin-Ono equations. Zbl 1075.35548
Colliander, J.; Kenig, C.; Staffilani, G.
16
2003
Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm. Zbl 1028.35141
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
12
2003
Low regularity solutions for the Kadomtsev-Petviashvili I equation. Zbl 1039.35097
Colliander, J.; Kenig, C.; Staffilani, G.
9
2003
Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm. Zbl 1041.35070
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
3
2003
Low regularity stability of solitons for the KdV equation. Zbl 1054.35084
Raynor, S.; Staffilani, G.
3
2003
KdV and almost conservation laws. Zbl 1046.35100
Staffilani, G.
3
2003
Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Zbl 1010.35015
Staffilani, Gigliola; Tataru, Daniel
95
2002
Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation. Zbl 1152.35491
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
93
2002
A refined global well-posedness result for Schrödinger equations with derivative. Zbl 1034.35120
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
87
2002
A new approach to study the Vlasov-Maxwell system. Zbl 1037.35088
Klainerman, Sergiu; Staffilani, Gigliola
43
2002
Global well-posedness for Schrödinger equations with derivative. Zbl 1002.35113
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
80
2001
Global well-posedness for KdV in Sobolev spaces of negative index. Zbl 0967.35119
Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C.
52
2001
Bilinear estimates and applications to 2d NLS. Zbl 0970.35142
Colliander, J. E.; Delort, J.-M.; Kenig, C. E.; Staffilani, G.
44
2001
On solutions for the Kadomtsev-Petviashvili I equation. Zbl 1002.35108
Colliander, J.; Kenig, C.; Staffilani, G.
5
2001
Global wellposedness for KdV below \(L^2\). Zbl 0959.35144
Colliander, J.; Staffilani, G.; Takaoka, H.
12
1999
On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations. Zbl 0874.35114
Staffilani, Gigliola
47
1997
On the generalized Korteweg-de Vries type equations. Zbl 0891.35135
Staffilani, Gigliola
32
1997
Quadratic forms for a 2-D semilinear Schrödinger equation. Zbl 0872.35104
Staffilani, Gigliola
24
1997
On solutions for periodic generalized KdV equations. Zbl 0932.35177
Staffilani, Gigliola
16
1997
Local well-posedness for higher order nonlinear dispersive systems. Zbl 0884.35116
Kenig, Carlos E.; Staffilani, Gigliola
7
1997
all top 5

Cited by 1,346 Authors

36 Tzvetkov, Nikolay
30 Oh, Tadahiro
29 Himonas, A. Alexandrou
29 Staffilani, Gigliola
25 Miao, Changxing
23 Yan, Wei
22 Zheng, Jiqiang
20 Kenig, Carlos Eduardo
19 Visan, Monica
18 Killip, Rowan
17 Panthee, Mahendra
17 Visciglia, Nicola
17 Xu, Guixiang
16 Li, Yongsheng
16 Tataru, Daniel
15 Ionescu, Alexandru D.
15 Ponce, Gustavo
15 Procesi, Michela
14 Colliander, James E.
14 Li, Pingrun
14 Linares, Felipe
14 Pavlović, Nataša
14 Zhao, Lifeng
14 Zhao, Zehua
13 Burq, Nicolas
13 Chen, Xuwen
13 Hani, Zaher
13 Murphy, Jason
13 Sohinger, Vedran
13 Zhang, Junyong
12 Carles, Rémi
12 Dinh, Van Duong
12 Guo, Zihua
12 Hong, Younghun
12 Yan, Fangchi
11 Carvajal, Xavier Paredes
11 Chen, Thomas
11 Dodson, Benjamin G.
11 Germain, Pierre
11 Herr, Sebastian
11 Kappeler, Thomas
11 Kwak, Chulkwang
11 Nahmod, Andrea R.
11 Schlein, Benjamin
11 Takaoka, Hideo
11 Tzirakis, Nikolaos
11 Wang, Ming
10 Hirayama, Hiroyuki
10 Pausader, Benoît
10 Petronilho, Gerson
10 Planchon, Fabrice
10 Pocovnicu, Oana
10 Tao, Terence
10 Yue, Haitian
9 Fan, Chenjie
9 Gerard, Patrick
9 Guardia, Marcel
9 Guo, Boling
9 Holmer, Justin
9 Huang, Jianhua
9 Ifrim, Mihaela
9 Okamoto, Mamoru
9 Schippa, Robert
9 Thomann, Laurent
9 Wang, Youde
9 Wang, Yushun
9 Yu, Xueying
8 Alazard, Thomas
8 Deng, Yu
8 Esfahani, Amin
8 Haus, Emanuele
8 Huang, Chengming
8 Kishimoto, Nobu
8 Li, Ze
8 Saanouni, Tarek
8 Soffer, Avraham
8 Tesfahun, Achenef
8 Wang, Baoxiang
8 Zhang, Zaiyun
7 Cai, Wenjun
7 Corcho, Adán J.
7 Fu, Yayun
7 Hu, Dongdong
7 Kinoshita, Shinya
7 Luca, Renato
7 Mantzavinos, Dionyssios
7 Ozawa, Tohru
7 Roy, Tristan
7 Selberg, Sigmund
7 Sulem, Catherine
7 Sun, Shuming
7 Vega, Luis
6 Bona, Jerry Lloyd
6 Bostan, Mihai
6 Bringmann, Björn
6 Cheng, Xing
6 Cui, Shangbin
6 Harrop-Griffiths, Benjamin
6 Isaza, Pedro
6 Li, Junfeng
...and 1,246 more Authors
all top 5

Cited in 228 Serials

117 Journal of Differential Equations
65 Journal of Mathematical Analysis and Applications
61 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
60 Communications in Mathematical Physics
57 Journal of Functional Analysis
52 Communications in Partial Differential Equations
44 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
44 Discrete and Continuous Dynamical Systems
32 Archive for Rational Mechanics and Analysis
32 Communications on Pure and Applied Analysis
29 Journal of Mathematical Physics
29 Transactions of the American Mathematical Society
28 SIAM Journal on Mathematical Analysis
26 Mathematical Methods in the Applied Sciences
25 Nonlinearity
24 Communications on Pure and Applied Mathematics
23 Proceedings of the American Mathematical Society
23 Analysis & PDE
20 Advances in Mathematics
19 NoDEA. Nonlinear Differential Equations and Applications
19 Journal of Evolution Equations
18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Mathematische Annalen
17 Acta Mathematica Sinica. English Series
16 Revista Matemática Iberoamericana
14 Inventiones Mathematicae
14 Communications in Contemporary Mathematics
14 Journal of Hyperbolic Differential Equations
13 Applied Numerical Mathematics
12 Journal of Dynamics and Differential Equations
12 Nonlinear Analysis. Real World Applications
11 Physica D
11 Journal of the European Mathematical Society (JEMS)
11 Stochastic and Partial Differential Equations. Analysis and Computations
10 Journal d’Analyse Mathématique
10 Annales Henri Poincaré
10 Discrete and Continuous Dynamical Systems. Series B
10 Science China. Mathematics
9 Duke Mathematical Journal
9 Journal of Nonlinear Science
9 Communications in Nonlinear Science and Numerical Simulation
8 Applicable Analysis
8 Computers & Mathematics with Applications
8 Letters in Mathematical Physics
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Applied Mathematics and Computation
8 Quarterly of Applied Mathematics
7 Journal of Statistical Physics
7 Bulletin de la Société Mathématique de France
7 Journal of Computational and Applied Mathematics
7 Acta Applicandae Mathematicae
7 Journal of the American Mathematical Society
7 Annals of PDE
7 Séminaire Laurent Schwartz. EDP et Applications
6 Indiana University Mathematics Journal
6 Studies in Applied Mathematics
6 Journal of Scientific Computing
6 The Journal of Geometric Analysis
6 Calculus of Variations and Partial Differential Equations
6 Journal of Mathematical Fluid Mechanics
6 Forum of Mathematics, Pi
6 Forum of Mathematics, Sigma
5 Memoirs of the American Mathematical Society
5 Chinese Annals of Mathematics. Series B
5 Numerical Methods for Partial Differential Equations
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 Vietnam Journal of Mathematics
5 Journal of Nonlinear Mathematical Physics
5 Evolution Equations and Control Theory
4 Journal of Computational Physics
4 Annales de l’Institut Fourier
4 SIAM Journal on Numerical Analysis
4 Applied Mathematics Letters
4 Geometric and Functional Analysis. GAFA
4 International Journal of Computer Mathematics
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 The Journal of Fourier Analysis and Applications
4 Abstract and Applied Analysis
4 Boundary Value Problems
4 São Paulo Journal of Mathematical Sciences
4 Journal of Applied Analysis and Computation
4 Pure and Applied Analysis
4 SN Partial Differential Equations and Applications
3 Acta Mathematica
3 American Journal of Mathematics
3 Illinois Journal of Mathematics
3 Journal of the Mathematical Society of Japan
3 Mathematics and Computers in Simulation
3 Mathematische Nachrichten
3 Monatshefte für Mathematik
3 Osaka Journal of Mathematics
3 Probability Theory and Related Fields
3 Stochastic Processes and their Applications
3 Bulletin of the American Mathematical Society. New Series
3 Electronic Journal of Differential Equations (EJDE)
3 Selecta Mathematica. New Series
3 Analysis (München)
3 Journal of High Energy Physics
3 Bulletin of the Brazilian Mathematical Society. New Series
...and 128 more Serials
all top 5

Cited in 46 Fields

1,496 Partial differential equations (35-XX)
248 Dynamical systems and ergodic theory (37-XX)
182 Fluid mechanics (76-XX)
156 Quantum theory (81-XX)
98 Numerical analysis (65-XX)
97 Statistical mechanics, structure of matter (82-XX)
78 Harmonic analysis on Euclidean spaces (42-XX)
74 Probability theory and stochastic processes (60-XX)
65 Global analysis, analysis on manifolds (58-XX)
58 Operator theory (47-XX)
47 Optics, electromagnetic theory (78-XX)
37 Real functions (26-XX)
31 Functional analysis (46-XX)
24 Integral equations (45-XX)
23 Ordinary differential equations (34-XX)
22 Differential geometry (53-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
16 Functions of a complex variable (30-XX)
16 Relativity and gravitational theory (83-XX)
15 Mechanics of particles and systems (70-XX)
14 Measure and integration (28-XX)
13 Systems theory; control (93-XX)
9 Mechanics of deformable solids (74-XX)
9 Geophysics (86-XX)
7 Difference and functional equations (39-XX)
7 Abstract harmonic analysis (43-XX)
6 Number theory (11-XX)
6 Topological groups, Lie groups (22-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Special functions (33-XX)
5 Approximations and expansions (41-XX)
4 General and overarching topics; collections (00-XX)
4 Potential theory (31-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 History and biography (01-XX)
3 Nonassociative rings and algebras (17-XX)
3 Integral transforms, operational calculus (44-XX)
3 Biology and other natural sciences (92-XX)
2 Combinatorics (05-XX)
2 Convex and discrete geometry (52-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
2 Astronomy and astrophysics (85-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.