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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: |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| BBM-ill-posed.pdf | documento principal em PDF | 312,4 kB | Adobe PDF | Ver/Abrir |
