Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/67637
Type: Artigo
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.
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
Subject: Boa-colocação local
Má-colocação (Equações diferenciais parciais)
Benjamin-Bona-Mahony, Equações de
Problemas de valor inicial
Country: Estados Unidos
Editor: American Institute of Mathematical Sciences
Citation: Discrete And Continuous Dynamical Systems. Amer Inst Mathematical Sciences, v. 34, n. 11, n. 4565, n. 4576, 2014.
Rights: aberto
Fechado
Identifier DOI: 10.3934/dcds.2014.34.4565
Address: https://www.aimsciences.org/article/doi/10.3934/dcds.2014.34.4565
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

Files in This Item:
File SizeFormat 
000336668200008.pdf449.41 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.