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Equations de Schrödinger non linéaires en dimension deux

Thierry Cazenave

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Source: Crossref

Published: Jan 1, 1979

DOI: 10.1017/s0308210500017182

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Source abstract

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.

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