Found 58 Documents (Results 1–58)
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation. (English) Zbl 07895064
On codimension one stability of the soliton for the 1D focusing cubic Klein-Gordon equation. (English) Zbl 07856621
Reviewer: Michał Kowalczyk (Santiago de Chile)
Asymptotic stability and classification of multi-solitons for Klein-Gordon equations. (English) Zbl 1532.35044
Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice. (English) Zbl 1522.35473
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II. (English) Zbl 1475.35313
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. (English) Zbl 1460.35321
Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential. (English) Zbl 1443.81029
Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity. (English) Zbl 1426.35026
Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). (English) Zbl 1428.35500
On global attractors and radiation damping for nonrelativistic particle coupled to scalar field. (English. Russian original) Zbl 1387.35563
St. Petersbg. Math. J. 29, No. 2, 249-266 (2018); translation from Algebra Anal. 29, No. 2, 34-58 (2017).
On a speed of solutions stabilization of the Cauchy problem for the Carleman equation with periodic initial data. (Russian. English summary) Zbl 1413.35302
Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. (English) Zbl 1387.35419
Reviewer: Joseph Shomberg (Providence)
On small energy stabilization in the NLKG with a trapping potential. (English) Zbl 1356.35142
Reviewer: Michael Reissig (Freiberg)
Attractors of Hamilton nonlinear PDEs. (English) Zbl 1382.35049
Reviewer: Jauber C. Oliveira (Florianopolis)
Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: neutral modes. (English) Zbl 1351.35187
Asymptotic stability of the black soliton for the Gross-Pitaevskii equation. (English) Zbl 1326.35346
Reviewer: Santosh Bhattarai (Buffalo)
Nondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in \(\mathbb R^3\). (English. Russian original) Zbl 1303.35103
St. Petersbg. Math. J. 25, No. 2, 271-294 (2014); translation from Algebra Anal. 25, No. 2, 162-192 (2013).
On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original) Zbl 1304.35001
St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013).
On eigenfunction expansion of solutions to the Hamilton equations. (English) Zbl 1300.34195
Reviewer: Zaki El Mehi (Alexandria)
On asymptotic stability of moving ground states of the nonlinear Schrödinger equation. (English) Zbl 1293.35289
Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators. (English) Zbl 1286.37064
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Asymptotic stability of solitons for nonlinear hyperbolic equations. (English. Russian original) Zbl 1275.35069
Russ. Math. Surv. 68, No. 2, 283-334 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 91-144 (2013).
Reviewer: Marie Kopáčková (Praha)
Soliton asymptotics for systems of ‘field-particle’ type. (English. Russian original) Zbl 1307.35288
Russ. Math. Surv. 68, No. 2, 227-281 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 33-90 (2013).
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry. (English) Zbl 1267.35140
Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. (English) Zbl 1373.35266
Nonlinear scattering in the Lamb system. (English) Zbl 1254.37044
Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 307-322 (2012).
A critical center-stable manifold for Schrödinger’s equation in three dimensions. (English) Zbl 1234.35240
Scattering of solitons for Dirac equation coupled to a particle. (English) Zbl 1229.35228
Reviewer: M. Marin (Brasov)
On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D. (English) Zbl 1298.35191
Reviewer: Marcelo M. Cavalcanti (Maringá)
MSC:
35Q55
On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model. (English) Zbl 1213.35392
Reviewer: Helmut Rumpf (Wien)
Asymptotic stability of ground states in 3D nonlinear Schrödinger equation including subcritical cases. (English) Zbl 1187.35238
Reviewer: Hideo Yamagata (Osaka)
Asymptotic stability of ground states in 2D nonlinear Schrödinger equation including subcritical cases. (English) Zbl 1171.35112
Non-generic blow-up solutions for the critical focusing NLS in 1-D. (English) Zbl 1163.35035
Reviewer: Boris A. Malomed (Tel Aviv)
Blow-up in nonlinear heat equations. (English) Zbl 1180.35130
Reviewer: Jiaqi Mo (Wuhu)
A centre-stable manifold for the focussing cubic NLS in \({\mathbb{R}}^{1+3\star}\). (English) Zbl 1148.35082
On asymptotic stability in energy space of ground states of NLS in 1D. (English) Zbl 1185.35251
Reviewer: Igor Andrianov (Köln)
On the asymptotic stability of bound states in 2D cubic Schrödinger equation. (English) Zbl 1194.35416
Reviewer: Heinz Siedentop (München)
On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. (English) Zbl 1096.35020
Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension. (English) Zbl 1281.35077
Stability of standing waves for NLS with perturbed Lamé potential. (English) Zbl 1115.35120
Reviewer: Ma Wen-Xiu (Tampa)
Asymptotic stability of solitary wave solutions to the regularized long-wave equation. (English) Zbl 1053.35119
On asymptotic stability of solitary waves for nonlinear Schrödinger equations. (English) Zbl 1028.35139
Reviewer: Igor Andrianov (Köln)
Stabilization of solutions to nonlinear Schrödinger equations. (English) Zbl 1031.35129
Commun. Pure Appl. Math. 54, No. 9, 1110-1145 (2001); erratum ibid. 58, No. 1, 147 (2004).
Reviewer: T.A.Jangveladze (Tbilisi)
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