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