Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping
In this paper we obtain an exponential rate of decay for the solution of the viscoelastic nonlinear wave equation $$ u_{tt}-Delta u+f(x,t,u)+int_0^tg(t-au )Delta u( au ),dau +a(x)u_t=0quad hbox{in }Omegaimes (0,infty ). $$ Here the damping term $a(x)u_t$ may be null for some part of the domain $Omeg...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/44/abstr.html |