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|Type:||Artigo de periódico|
|Title:||Analyticity And Smoothing Effect For The Coupled System Of Equations Of Korteweg-de Vries Type With A Single Point Singularity|
Munoz Rivera J.E.
|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. © 2010 Springer Science+Business Media B.V.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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