Analycity and smoothing effect for the coupled system of equations of Korteweg - de Vries type with a single point singularity - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2007

Analycity and smoothing effect for the coupled system of equations of Korteweg - de Vries type with a single point singularity

Résumé

We study 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 analyticity in time and smoothing effect up to real analyticity if the initial data only has a single point singularity at $x=0.$
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Dates et versions

hal-00141695 , version 1 (13-04-2007)

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Mauricio Sepulveda, Octavio Vera. Analycity and smoothing effect for the coupled system of equations of Korteweg - de Vries type with a single point singularity. 2007. ⟨hal-00141695⟩

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