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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
Author: Alves M.S.
Calsavara B.M.R.
Munoz Rivera J.E.
Sepulveda M.
Villagran O.V.
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.
Rights: fechado
Identifier DOI: 10.1007/s10440-010-9586-2
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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