New Lower Bounds of Spatial Analyticity Radius for the Kawahara Equation

In this paper, an algebraic decay rate for the radius of spatial analyticity of solutions to the Kawahara equation ∂tu+β∂x5u+α∂x3u+u∂xu=0,β≠0 is investigated. With given analytic initial data having a fixed radius of analyticity σ0, we derive an algebraic decay rate σt∼t−1/2 for the uniform radius o...

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Bibliographic Details
Main Author: Tegegne Getachew
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/ijde/2947966
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