Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81873
Type: Artigo
Title: On the Cauchy problem for the nonlocal derivative nonlinear Schrödinger equation
Author: Moura, Roger Perer de
Pastor, Ademir
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.
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
Subject: Problema de Cauchy
Equação de Schrödinger
Boa-colocação local
Sólitons
Country: Estados Unidos
Editor: International
Citation: Communications In Mathematical Sciences. Int Press Boston, Inc, v. 9, n. 1, n. 63, n. 80, 2011.
Rights: Aberto
Identifier DOI: 10.4310/CMS.2011.v9.n1.a4
Address: https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0009/0001/a004/
Date Issue: 2011
Appears in Collections:IMECC - Artigos e Outros Documentos

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