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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Official URL : http://tse-fr.eu/pub/10541
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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