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

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 conservati...

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Bibliographic Details
Published in:arXiv.org 2022-05
Main Authors: Boukarou, Aissa, Oliveira da Silva, Daniel
Format: Article
Language:English
Subjects:
Cauchy problems
Conservation laws
Damping
Mathematical analysis
Online Access:Get full text
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Summary: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.
ISSN:2331-8422