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arXiv · 2205.10432

On the Radius of Analyticity for a Korteweg-de Vries-Kawahara Equation with a Weakly Damping Term

Aissa Boukarou·Daniel Oliveira da Silva
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Abstract

We consider the Cauchy problem for an equation of Korteweg-de Vries-Kawahara type with initial data in the analytic Gevrey spaces. By using linear, bilinear and trilinear estimates in analytic Bourgain spaces, we establish the local well-posedness for this problem. By using an approximate conservation law, we extend this to a global result in such a way that the radius of analyticity of solutions is uniformly bounded below by a fixed positive number for all time.

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Aissa Boukarou, Daniel Oliveira da Silva. 2022-05-20. On the Radius of Analyticity for a Korteweg-de Vries-Kawahara Equation with a Weakly Damping Term. https://arxiv.org/abs/2205.10432

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