Analyticity and Smoothing Effect for the Coupled System of Equations of Korteweg-de Vries Type with a Single Point Singularity
| Autor: | Margareth S. Alves, Bianca M. R. Calsavara, Jaime E. Muñoz Rivera, Mauricio Sepúlveda, Octavio Vera Villagrán |
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| Rok vydání: | 2010 |
| Předmět: |
Physics
Applied Mathematics 35Q53 47J35 Strong interaction Mathematical analysis Bourgain space Evolution equations Type (model theory) System of linear equations Nonlinear system Mathematics - Analysis of PDEs Singularity FOS: Mathematics Initial value problem Kondratiev wave Smoothing effect Smoothing Analysis of PDEs (math.AP) |
| Zdroj: | LOCUS Repositório Institucional da UFV Universidade Federal de Viçosa (UFV) instacron:UFV ACTA APPLICANDAE MATHEMATICAE Artículos CONICYT CONICYT Chile instacron:CONICYT |
| ISSN: | 1572-9036 0167-8019 |
| DOI: | 10.1007/s10440-010-9586-2 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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