Existence and boundary stabilization of a nonlinear hyperbolic equation with time-dependent coefficients
In this article, we study the hyperbolic problem $$ K(x,t)u_{tt} - sum_{j=1}^nleft(a(x,t)u_{x_j} ight) + F(x,t,u,abla u) = 0 $$ coupled with boundary conditions $$u=0,quadhbox{on }Gamma_1,, quad {partial u overpartialu} + Beta(x)u_t =0quadhbox{ on }Gamma_0,.$$ Here the variable $x$ belongs to a boun...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1998-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/08/abstr.html |