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|Type:||Artigo de periódico|
|Title:||On The Cauchy Problem For The Nonlocal Derivative Nonlinear Schrödinger Equation|
|Author:||de Moura R.P.|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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