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...
Saved in:
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/ |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms
by: Yongju Yang, et al.
Published: (2012-01-01) -
Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime
by: Jie Yang, et al.
Published: (2025-01-01) -
Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions
by: Louis A. Assalé, et al.
Published: (2008-01-01) -
Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity
by: Jincheng Shi, et al.
Published: (2021-01-01) -
Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation
by: Huafei Di, et al.
Published: (2014-01-01)