JournalszaaVol. 42, No. 3/4pp. 359–374

On the radius of analyticity for a Korteweg–de Vries–Kawahara equation with a weak damping term

  • Aissa Boukarou

    Higher School of Technological Education, Skikda, Algeria; University of Science and Technology Houari Boumediene, Bab Ezzouar, Algeria

  • Daniel Oliveira da Silva

    Nazarbayev University, Astana, Republic of Kazakhstan; California State University, Los Angeles, USA
On the radius of analyticity for a Korteweg–de Vries–Kawahara equation with a weak damping term cover

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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 of 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.

Cite this article

Aissa Boukarou, Daniel Oliveira da Silva, On the radius of analyticity for a Korteweg–de Vries–Kawahara equation with a weak damping term. Z. Anal. Anwend. 42 (2023), no. 3/4, pp. 359–374

DOI 10.4171/ZAA/1743