Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/13473
Título: | On the ill-posedness result for the BBM equation |
Autor(es): | Panthee, Mahendra Prasad |
Palavras-chave: | Cauchy problem Well-posedness Ill-posedness KdV equation BBM equation |
Data: | Mai-2011 |
Editora: | American Institute of Mathematical Sciences (AIMS) |
Revista: | Discrete and Continuous Dynamical Systems |
Resumo(s): | We prove that the initial value problem (IVP) for the BBM equation is ill-posed for data in Hs(R), s < 0 in the sense that the ow-map u0 7! u(t) that associates to initial data u0 the solution u cannot be continuous at the origin from Hs(R) to even D0(R) at any _xed t > 0 small enough. This result is sharp. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/13473 |
DOI: | 10.3934/dcds.2011.30.253 |
ISSN: | 1078-0947 1553-5231 |
Versão da editora: | http://www.aimsciences.org/ |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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BBM-ill-posed.pdf | documento principal em PDF | 312,4 kB | Adobe PDF | Ver/Abrir |