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

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

2007-04-14

arxiv.org/abs/0704.1861v1

Mathematics

Analysis of PDEs

Scientific paper

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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