Strong global attractor for a quasilinear nonlocal wave equation on $mathbb{R}^N$
We study the long time behavior of solutions to the nonlocal quasilinear dissipative wave equation $$ u_{tt}-phi (x)| abla u(t)|^{2}Delta u+delta u_{t}+|u|^{a}u=0, $$ in $mathbb{R}^N$, $t geq 0$, with initial conditions $ u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1(x)$. We consider the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2006-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/77/abstr.html |