Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/107528
Type: Artigo de periódico
Title: On The Cauchy Problem For The Nonlocal Derivative Nonlinear Schrödinger Equation
Author: de Moura R.P.
Pastor A.
Abstract: We consider the Cauchy problem associated with the one-dimensional nonlocal derivative nonlinear Schrödinger equation, and establish local well-posedness for "small" initial data in the usual L2-based Sobolev spaces Hs(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 C3 at the origin from Hs(ℝ) to Hs(ℝ) for any s<1/2. Finally, thanks to the lack of energy conservation, we prove the nonexistence of solitary-wave solutions. © 2011 International Press.
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Rights: fechado
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-78049314588&partnerID=40&md5=a698635e546f9a33fa79963c509c64e1
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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