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https://locus.ufv.br//handle/123456789/21678
Tipo: | Artigo |
Título: | Analyticity and smoothing effect for the coupled system of equations of Korteweg-de vries type with a single point singularity |
Autor(es): | Alves, Margareth S. Calsavara, Bianca M. R. Rivera, Jaime E. Muñoz Sepúlveda, Mauricio Villagrán, Octavio Vera |
Abstract: | Using Bourgain spaces and the generator of dilation P=3t ∂ t +x ∂ x , which almost commutes with the linear Korteweg-de Vries operator, we show that a solution of the initial value problem associated for the coupled system of equations of Korteweg-de Vries type which appears as a model to describe the strong interaction of weakly nonlinear long waves, has an analyticity in time and a smoothing effect up to real analyticity if the initial data only have a single point singularity at x=0. |
Palavras-chave: | Evolution equations Bourgain space Smoothing effect |
Editor: | Acta Applicandae Mathematicae |
Tipo de Acesso: | Springer Science+Business Media B.V. |
URI: | https://doi.org/10.1007/s10440-010-9586-2 http://www.locus.ufv.br/handle/123456789/21678 |
Data do documento: | Jan-2011 |
Aparece nas coleções: | Artigos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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artigo.pdf Until 2100-12-31 | Texto completo | 633,21 kB | Adobe PDF | Visualizar/Abrir ACESSO RESTRITO |
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