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
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus - MaRDI portal

A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus

From MaRDI portal
Publication:2441196

DOI10.2140/apde.2013.6.1243zbMath1284.35067arXiv1003.4845OpenAlexW3103496461MaRDI QIDQ2441196

Erwan Faou, Benoît Grébert

Publication date: 21 March 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4845




Related Items (34)

Birkhoff normal forms for Hamiltonian PDEs in their energy spaceResonances and genericity in Birkhoff normal formsMapping properties of normal forms transformations for water wavesExponential stability estimate for the derivative nonlinear Schrödinger equation*About linearization of infinite-dimensional Hamiltonian systemsLong time stability of plane wave solutions to Schrödinger equation on TorusAlmost periodic invariant tori for the NLS on the circleA Nekhoroshev type theorem for the nonlinear wave equationAn abstract Birkhoff normal form theorem and exponential type stability of the 1d NLSExponential and sub-exponential stability times for the derivative wave equationStability and recursive solutions in Hamiltonian PDEsLong time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on toriSmall amplitude weak almost periodic solutions for the 1d NLSAlmost global existence for \(d\)-dimensional beam equation with derivative nonlinear perturbationAlmost global existence for some Hamiltonian PDEs with small Cauchy data on general toriSub-exponential stability for the beam equationLong time stability of KAM tori for the generalized Boussinesq equationThe stability of nonlinear Schrödinger equations with a potential in high Sobolev norms revisitedResonant dynamics for the quintic nonlinear Schrödinger equationThe stability of full dimensional KAM tori for nonlinear Schrödinger equationA Nekhoroshev type theorem of higher dimensional nonlinear Schrödinger equationsA Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potentialA Nekhoroshev type theorem for the nonlinear wave equation in Gevrey spaceA note on the construction of Sobolev almost periodic invariant tori for the 1d NLSRational normal forms and stability of small solutions to nonlinear Schrödinger equationsA Nekhoroshev type theorem for the derivative nonlinear Schrödinger equationLong-time existence for semi-linear beam equations on irrational toriLONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE -DIMENSIONAL TORUSQuadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic toriExponential and sub-exponential stability times for the NLS on the circleLong time stability result for 1-dimensional nonlinear Schrödinger equationBirkhoff normal form for the derivative nonlinear Schrödinger equationAlmost global existence for the fractional Schrödinger equationsSuper-exponential stability estimate for the nonlinear Schrödinger equation







This page was built for publication: A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus