Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81873
Type: Artigo de periódico
Title: ON THE CAUCHY PROBLEM FOR THE NONLOCAL DERIVATIVE NONLINEAR SCHRODINGER EQUATION
Author: de Moura, RP
Pastor, A
Abstract: We consider the Cauchy problem associated with the one-dimensional nonlocal derivative nonlinear Schrodinger equation, and establish local well-posedness for 'small' initial data in the usual L(2)-based Sobolev spaces H(s) (R), s > 1/2. We also prove that our result is 'almost sharp' in the sense that the flow-map data-solution fails to be C(3) at the origin from H(s) (R) to H(s) (R) for any s < 1/2. Finally, thanks to the lack of energy conservation, we prove the nonexistence of solitary-wave solutions.
Subject: Nonlocal derivative nonlinear Schrodinger equation
Cauchy problem
well-posedness
solitary waves
Country: EUA
Editor: Int Press Boston, Inc
Rights: fechado
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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