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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, MS
Calsavara, BMR
Rivera, JEM
Sepulveda, M
Villagran, OV
Abstract: Using Bourgain spaces and the generator of dilation P=3t a, (t) +x a, (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.
Subject: Evolution equations
Bourgain space
Smoothing effect
Country: Holanda
Editor: Springer
Citation: Acta Applicandae Mathematicae. Springer, v. 113, n. 1, n. 75, n. 100, 2011.
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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