Blowup and asymptotic stability of weak solutions to wave equations with nonlinear degenerate damping and source terms

This article concerns the blow-up and asymptotic stability of weak solutions to the wave equation $$ u_{tt}-Delta u +|u|^kj'(u_t)=|u|^{p-1}u quad hbox{in }Omega imes (0,T), $$ where $p>1$ and $j'$ denotes the derivative of a $C^1$ convex and real value function $j$. We pro...

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Bibliographic Details
Main Authors: Hongwei Zhang, Qingying Hu
Format: Article
Language:English
Published: Texas State University 2007-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/76/abstr.html