Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations - MaRDI portal

Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations

From MaRDI portal
Publication:2497192

DOI10.1215/S0012-7094-06-13331-8zbMath1099.35134OpenAlexW1998111859MaRDI QIDQ2497192

Frank Merle, Yvan Martel, Tai-Peng Tsai

Publication date: 3 August 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1150201198




Related Items (66)

Logarithmic Schrödinger equations in infinite dimensionsAn asymptotic expansion of two-bubble wave maps in high equivariance classesConstruction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equationsOrbital stability of the sum of smooth solitons in the Degasperis-Procesi equationRecent results for the Landau-Lifshitz equationHigh-speed excited multi-solitons in competitive power nonlinear Schrödinger equationsStability of multi-solitons in the cubic NLS equationStability of solitons of the Landau-Lifshitz equation with planar anisotropyMulti-Solitary Waves for the Nonlinear Klein-Gordon EquationSmall multi solitons in a double power nonlinear Schrödinger equationOn traveling waves of the nonlinear Schrödinger equation escaping a potential wellMulti solitary waves for a fourth order nonlinear Schrödinger type equationExistence of multi-solitons for the focusing logarithmic non-linear Schrödinger equationMulti-existence of multi-solitons for the supercritical nonlinear Schrödinger equation in one dimensionMulti-travelling waves for the nonlinear Klein-Gordon equationAsymptotic stability of the black soliton for the Gross–Pitaevskii equationBlow-up solutions forL2supercritical gKdV equations with exactlykblow-up pointsStability of the sum of two solitary waves for (gDNLS) in the energy spaceThe focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superpositionMulti solitary waves to stochastic nonlinear Schrödinger equationsAsymptotic stability of \(N\)-solitary waves of the FPU latticesAlmost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear electrodynamicsEffective dynamics of double solitons for perturbed mKdVThe Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground statesOn the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equationsOn weak interaction between a ground state and a non-trapping potentialInstability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate caseExistence of multi-solitary waves with logarithmic relative distances for the NLS equationStability in the energy space for chains of solitons of the Landau-Lifshitz equationAsymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potentialStability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equationStability of the multi-solitons of the modified Korteweg–de Vries equation *Mixed dimensional infinite soliton trains for nonlinear Schrödinger equationsPHASE-DRIVEN INTERACTION OF WIDELY SEPARATED NONLINEAR SCHRÖDINGER SOLITONSStability of the traveling waves for the derivative Schrödinger equation in the energy spaceConstruction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equationsAsymptotic stability of solitons of the gKdV equations with general nonlinearityTwo soliton collision for nonlinear Schrödinger equations in dimension 1On weak interaction between a ground state and a trapping potentialBlow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the solitonStability of multipeakonsHigh-speed excited multi-solitons in nonlinear Schrödinger equationsInteraction of coherent states for Hartree equationsAsymptotic stability of solitons to 1D nonlinear Schrödinger equations in subcritical caseSoliton-Potential Interactions for Nonlinear Schrödinger Equation in $\mathbb{R}^3$Orbital Stability: Analysis Meets GeometryUnnamed ItemConditional stability of multi-solitons for the 1D NLKG equation with double power nonlinearityDecay of small odd solutions for long range Schrödinger and Hartree equations in one dimensionConstruction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger systemSolution to the semilinear wave equation with a pyramid-shaped blow-up surfaceOn asymptotic stability of nonlinear wavesStrongly interacting kink-antikink pairs for the scalar field equation in dimension \(1+1\)Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam modelStability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models*Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein–Gordon equationsSmall solitons and multisolitons in the generalized Davey-Stewartson systemColliding solitons for the nonlinear Schrödinger equationWhy are solitons stable?Endpoint Strichartz estimates for charge transfer HamiltoniansNonlinear stability of multi-solitons for the Hirota equationOn existence and uniqueness of asymptotic \(N\)-soliton-like solutions of the nonlinear Klein-Gordon equationOn smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equationsDynamics of strongly interacting kink-antikink pairs for scalar fields on a lineOn uniqueness of multi-bubble blow-up solutions and multi-solitons to \(L^2\)-critical nonlinear Schrödinger equationsMulti-solitons for nonlinear Klein–Gordon equations



Cites Work


This page was built for publication: Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations