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Type: Artigo de periódico
Title: On the well-posedness for the generalized Ostrovsky, Stepanyarns and Tsimring equation
Author: Carvajal, X
Scialom, M
Abstract: In this work we prove that the initial value problem associated with equation u(t) + u(xxx) - eta(Hu(x) + Hu(xxx)) + u(k)u(x) = 0, x is an element of R, t >= 0, where eta > 0 and H denotes the usual Hilbert transform, is locally well-posed in Sobolev spaces H-s (R) for s >= 0 and k = 1, 2, 3 and globally well-posed in L-2(R). (c) 2005 Elsevier Ltd. All rights reserved.
Subject: OST equation
KdV equation
Hilbert transform
initial value problem
local smoothing effect
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/
Date Issue: 2005
Appears in Collections:Unicamp - Artigos e Outros Documentos

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