Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces

We obtain an asymptotic rate of decay for the radius of spatial analyticity of solutions to the nonlinear wave equation with initial data in the analytic Gevrey spaces.

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Bibliographic Details
Published in:arXiv.org 2020-07
Main Authors: Oliveira da Silva, Daniel, Castro, Alejandro J
Format: Article
Language:English
Subjects:
Exact solutions
Regularity
Wave equations
Well posed problems
Online Access:Get full text
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Description
Summary:We obtain an asymptotic rate of decay for the radius of spatial analyticity of solutions to the nonlinear wave equation with initial data in the analytic Gevrey spaces.
ISSN:2331-8422
DOI:10.48550/arxiv.1909.11998