On the radius of analyticity for a Korteweg-de Vries-Kawahara equation with a weak damping term
Boukarou A. da Silva D.O.
2023European Mathematical Society Publishing House
Zeitschrift für Analysis und ihre Anwendungen
2023#42Issue 3-4359 - 374 pp.
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.
Gevrey , Kawahara , KdV
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Department of Mathematics, Higher School of Technological Education Skikda, Skikda, 21000, Algeria
Faculty of Mathematics, University of Science and Technology Houari Boumediene, Bab Ezzouar, 16111, Algeria
Department of Mathematics, Nazarbayev University, Kabanbay Batyr Avenue 53, Astana, 010000, Kazakhstan
Department of Mathematics, California State University Los Angeles, 5151 State University Drive, Los Angeles, 90032, CA, United States
Department of Mathematics
Faculty of Mathematics
Department of Mathematics
Department of Mathematics
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