Bégout, Pascal (2002) Necessary Conditions and Sufficient Conditions for Global Existence in the Nonlinear Schrödinger Equation. Advances in mathematical sciences and applications, 12 (2). pp. 817-827.

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Abstract

In this paper, we consider the nonlinear Schrödinger equation with the super critical power of nonlinearity in the attractive case. We give a sufficient condition and a necessary condition to obtain global or blowing up solutions. These conditions coincide in the critical case, thereby extending the results of Weinstein [26,27]. Furthermore, we improve a blow-up condition.

Item Type: Article
Language: English
Date: 2002
Refereed: Yes
Uncontrolled Keywords: Necessary condition, Sufficient condition, Blow-up, Global existence
Subjects: G- MATHEMATIQUES
Divisions: Institut de mathématiques de Toulouse
Site: UT1
Date Deposited: 26 May 2020 13:43
Last Modified: 27 Oct 2021 13:38
URI: https://publications.ut-capitole.fr/id/eprint/35019
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