Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/67637
Type: Artigo de periódico
Title: ON ILL-POSEDNESS FOR THE GENERALIZED BBM EQUATION
Author: Carvajal, X
Panthee, M
Abstract: We consider the Cauchy problem associated to the generalized Benjamin-Bona-Mahony (BBM) equation for given data in the L-2-based Sobolev spaces. Depending on the order of nonlinearity and dispersion, we prove that the Cauchy problem is ill-posed for data with lower order Sobolev regularity. We also prove that, in certain range of the Sobolev regularity, even if the solution exists globally in time, it fails to be smooth.
Subject: Initial value problem
BBM equation
well-posedness
ill-posedness
Country: EUA
Editor: Amer Inst Mathematical Sciences
Rights: aberto
Identifier DOI: 10.3934/dcds.2014.34.4565
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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