Local existence and lower bound of blow-up time to a Cauchy problem of a coupled nonlinear wave equations

Local existence and lower bound of blow-up time to a Cauchy problem of a coupled nonlinear wave equations

In this paper, we consider a Cauchy problem of a coupled linearly-damped wave equations with nonlinear sources. In the whole space, we establish the local existence and show that there are solutions with negative initial energy that blow up in a finite time. Moreover, under some conditions on the in...

Full description

Bibliographic Details
Main Authors: Mohammad Kafini, Shadi Al-Omari
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
cauchy problem
blow up
negative initial energy
nonlinear source
lower bound
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021526?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2021526?viewType=HTML

Similar Items