Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/17877
Título: | Well-posedness of KdV type equations |
Autor(es): | Carvajal, Xavier Panthee, Mahendra Prasad |
Palavras-chave: | Initial value problem well-posedness Bourgain spaces KdV equation |
Data: | 2012 |
Editora: | Texas State University. Department of Mathematics |
Revista: | Electronic Journal of Differential Equations |
Resumo(s): | In this work, we study the initial value problems associated to some linear perturbations of the KdV equations. Our focus is in the well-posedness issues for the initial data given in the $L^2$-based Sobolev spaces. We develop a method that allows us to treat the problem in the Bourgain's space associated to the KdV equation. With this method, we can use the multilinear estimates developed in the KdV context thereby getting analogous well-posedness results for the linearly perturbed equations. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/17877 |
ISSN: | 1072-6691 |
Versão da editora: | http://ejde.math.txstate.edu/ |
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 | |
---|---|---|---|---|
KdV-P-revised-final.pdf | documento principal em PDF | 233,61 kB | Adobe PDF | Ver/Abrir |