Blow-up solutions to the semilinear wave equation with overdamping term

This article deals with the Cauchy problem to the following damped wave equation \begin{equation*} {\left\lbrace \begin{array}{ll} u_{tt}-\Delta u+b(t) u_t=M(u),~&(t,x)\in R^{+}\times R^{N},\\ u(0,x)=u_0(x),~u_t(0,x)=u_1(x),~&x\in R^{N}, \end{array}\right.}CP \end{equation*} with the focus...

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Bibliographic Details
Main Authors: Liu, Miaomiao, Guo, Bin
Format: Article
Language:English
Published: Académie des sciences 2023-03-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.432/
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