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 Schrodinger equation with the super critical powerof nonlinearity in the attractive case. We give a sufficient condition and a necessary conditionto obtain global or blowing up solutions. These conditions coincide in the critical case, therebyextending the results of Weinstein [26, 27]. Furthermore, we improve a blow-up condition.

Item Type: Article
Language: English
Date: 2002
Refereed: Yes
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 14 Jan 2026 14:25
Last Modified: 14 Jan 2026 14:25
OAI Identifier: oai:tse-fr.eu:10541
URI: https://publications.ut-capitole.fr/id/eprint/35026
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