Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/16884
Título: | Global well-posedness for a coupled modified kdv system |
Autor(es): | Corcho, Adan Panthee, Mahendra Prasad |
Palavras-chave: | Korteweg-de vries equation Cauchy problem Local and global well-posedness. |
Data: | 2012 |
Editora: | Springer |
Revista: | Bulletin of the Brazilian Mathematical Society |
Resumo(s): | We prove the sharp global well-posedness result for the initial value problem (IVP) associated to the system of the modi ed Korteweg-de Vries (mKdV) equation. For the single mKdV equation such result has been obtained by using Mirura's Transform that takes the KdV equation to the mKdV equation [8]. We do not know the existence of Miura's Transform that takes a KdV system to the system we are considering. To overcome this di culty we developed a new proof of the sharp global well-posedness result for the single mKdV equation without using Miura's Transform. We could successfully apply this technique in the case of the mKdV system to obtain the desired result. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/16884 |
DOI: | 10.1007/s00574-012-0004-4 |
ISSN: | 1678-7544 |
Versão da editora: | http://www.springer.com/mathematics/journal/574 |
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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mKdV-system-revised_30.09.11.pdf | 270,63 kB | Adobe PDF | Ver/Abrir |