Analyticity and Smoothing Effect for the Coupled System of Equations of Korteweg-de Vries Type with a Single Point Singularity

被引：0

作者：

Margareth S. Alves

Bianca M. R. Calsavara

Jaime E. Muñoz Rivera

Mauricio Sepúlveda

Octavio Vera Villagrán

机构：

[1] Universidade Federal de Viçosa-UFV,Departamento de Matemática

[2] Universidade Estadual de Campinas-Unicamp,CI²MA and Departamento de Ingeniería Matemática

[3] National Laboratory for Scientific Computation,Departamento de Matemática

[4] Universidad de Concepción,undefined

[5] Universidad del Bío-Bío,undefined

来源：

Acta Applicandae Mathematicae | 2011年 / 113卷

关键词：

Evolution equations; Bourgain space; Smoothing effect; 35Q53;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：75 / 100

页数：25

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