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, vol. 17 (n° 11). pp. 1411-1422.

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Official URL: http://tse-fr.eu/pub/10537

Abstract

We give explicit time lower bounds in the Lebesgue spaces for all nontrivial solutions of nonlin-ear Schrödinger equations bounded in the energy space. The result applies for these equations setin any domain ofRN;including the whole space. This also holds for a large class of nonlinearities,thereby extending the results obtained by Hayashi and Ozawa in [9] and by the author in [2].

Item Type: Article
Language: English
Date: 2004
Refereed: Yes
Subjects: B- ECONOMIE ET FINANCE
G- MATHEMATIQUES
Divisions: Institut de mathématiques de Toulouse, TSE-R (Toulouse)
Site: UT1
Date Deposited: 18 Jan 2012 05:58
Last Modified: 12 Mar 2018 11:29
OAI ID: oai:tse-fr.eu:10537
URI: http://publications.ut-capitole.fr/id/eprint/3063

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