Smoothing Effect for the Regularized Schrödinger Equation with Non-Controlled Orbits

DOI10.1080/03605302.2012.721852zbMath1263.35058arXiv1201.3711OpenAlexW2952286571MaRDI QIDQ4916388

Georgi Vodev, Lassaad Aloui, Moez Khenissi

Publication date: 22 April 2013

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

Full work available at URL: https://arxiv.org/abs/1201.3711

zbMATH Keywords

resolvent estimatesstabilization and geometric controlstrongly dissipative Schrödinger equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Spectrum, resolvent (47A10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Local energy decay and smoothing effect for the damped Schrödinger equation ⋮ Asymptotic Stability for the Damped Schrödinger Equation on Noncompact Riemannian Manifolds and Exterior Domains ⋮ Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term ⋮ The Kato smoothing effect for regularized Schrödinger equations in exterior domains ⋮ Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains ⋮ Exponential stability of discrete-time damped Schrödinger equation ⋮ Local energy decay for the damped Klein-Gordon equation in exterior domain ⋮ Exponential stability for the nonlinear Schrödinger equation with locally distributed damping ⋮ Exponential decay for the Schrödinger equation on a dissipative waveguide ⋮ Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces ⋮ Kato Smoothing Effect for Schrödinger Operator

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