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Equations de Schrödinger non linéaires en dimension deux

Published online by Cambridge University Press:  14 November 2011

Thierry Cazenave
Thierry Cazenave
Affiliation:
Université Pierre et Marie Curie, Laboratoire Analyse Numerique, 4 place Jussieu, Paris, France
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Synopsis

This paper is devoted to the study of some non linear Schrödinger equations in two dimensions, arising in non linear optics; in particular, it is concerned with solutions to the Cauchy problem. The problem of global existence and regularity of the solutions, the asymptotic behaviour of global solutions, and the blow-up of non global solutions are studied.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 84 , Issue 3-4 , 1979 , pp. 327 - 346
Copyright
Copyright © Royal Society of Edinburgh 1979

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