The Kato smoothing effect for the nonlinear regularized Schrödinger equation on compact manifolds

DOI10.3934/mcrf.2020016zbMath1464.35307OpenAlexW2994911131WikidataQ126412754 ScholiaQ126412754MaRDI QIDQ828989

Imen El Khal El Taief, Lassaad Aloui

Publication date: 5 May 2021

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2020016

zbMATH Keywords

Strichartz estimatesgeometric control conditionKato smoothing effectnonlinear regularized Schrödinger equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fixed-point theorems (47H10) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)

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Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term

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