Publication
Analyticity and smoothing effect for the coupled system of equations of Korteweg-de vries type with a single point singularity
| Summary: | 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. |
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| Main Authors: | Alves, Margareth S. |
| Other Authors: | Calsavara, Bianca M. R.; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio; Villagrán, Octavio Vera |
| Subject: | Evolution equations Bourgain space Smoothing effect |
| Year: | 2018 |
| Country: | Brazil |
| Document type: | article |
| Access type: | unknown |
| Associated institution: | IBICT |
| Language: | English |
| Origin: | Oasisbr |
| Summary: | 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. |
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