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Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations

Bégout, Pascal (2004) Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations. Differential and Integral Equations. An International Journal for Theory & Applications, 17 (11-12). pp. 1411-1422.

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Abstract

We give explicit time lower bounds in the Lebesgue spaces for all nontrivial solutions of nonlinear Schrödinger equations bounded in the energy space. The result applies for these equations set in any domain of $\R^N,$ including the whole space. This also holds for a large class of nonlinearities, thereby extending the results obtained by Hayashi and Ozawa in~\cite{MR91d:35035} and by the author in~\cite{beg3}.

Item Type: Article
Language: English
Date: 2004
Refereed: Yes
Subjects: G- MATHEMATIQUES
Divisions: Institut de mathématiques de Toulouse
Site: UT1
Date Deposited: 19 May 2020 12:02
Last Modified: 19 May 2020 12:02
URI: http://publications.ut-capitole.fr/id/eprint/34890

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