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
Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations - MaRDI portal

Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations

From MaRDI portal
Publication:3603850

DOI10.1080/03605300802537115zbMath1154.35450arXiv0805.3771OpenAlexW2028758270MaRDI QIDQ3603850

Wei-Min Wang

Publication date: 19 February 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3771




Related Items (max. 100)

Growth of Sobolev norms in 1-d quantum harmonic oscillator with polynomial time quasi-periodic perturbationThe Schrödinger Equation with a Potential in Rough MotionReducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) perturbed by a quasi: periodic potential with logarithmic decayLong-time Anderson localization for the nonlinear Schrödinger equation revisitedOn quantum averaging, quantum KAM, and quantum diffusionBounded Sobolev norms for Klein-Gordon equations under non-resonant perturbationGrowth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat toriDiffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potentialOn weakly turbulent solutions to the perturbed linear harmonic oscillatorOn growth of Sobolev norms in time dependent linear Schrödinger equations on spheresA numerical and symbolical approximation of the nonlinear Anderson modelThe stability of Sobolev norms for the linear wave equation with unbounded perturbationsDiffusion bound and reducibility for discrete Schrödinger equations with tangent potentialOn growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potentialNew estimates for a time-dependent Schrödinger equationGrowth of Sobolev norms for time dependent periodic Schrödinger equations with sublinear dispersionReducibility of one-dimensional quasi-periodic Schrödinger equationsOn time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potentialOn reducibility of 1d wave equation with quasiperiodic in time potentialsGrowth of Sobolev Norms for Solutions of Time Dependent Schrödinger Operators with Harmonic Oscillator PotentialOn time dependent Schrödinger equations: global well-posedness and growth of Sobolev normsA note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equationStability of the Cubic Nonlinear Schrodinger Equation on an Irrational TorusGrowth of Sobolev norms for linear Schrödinger operatorsGrowth of Sobolev norms and controllability of the Schrödinger equationSemi-algebraic sets method in PDE and mathematical physicsVariable potentials and dispersive equations



Cites Work


This page was built for publication: Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations