The Kato smoothing effect for regularized Schrödinger equations in exterior domains

DOI10.1016/j.anihpc.2016.12.006zbMath1377.35044arXiv1204.1904OpenAlexW2963690514MaRDI QIDQ1679686

Luc Robbiano, Moez Khenissi, Lassaad Aloui

Publication date: 21 November 2017

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1904

zbMATH Keywords

regularized equationgeometric control conditionfrequency localizationinhomogeneous and damped Schrödinger equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Time-dependent Schrödinger equations and Dirac equations (35Q41)

We Found 9 Related Items (max. 100)

Local energy decay and smoothing effect for the damped Schrödinger equation ⋮ The Kato smoothing effect for the nonlinear regularized Schrödinger equation on compact manifolds ⋮ Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term ⋮ Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains ⋮ Exponential stabilization of waves for the Zaremba boundary condition ⋮ Exponential stability of discrete-time damped Schrödinger equation ⋮ Exponential decay for the Schrödinger equation on a dissipative waveguide ⋮ On the nonlinear regularized Schrödinger equation in exterior domains ⋮ Kato Smoothing Effect for Schrödinger Operator

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