| Volume 8, Number 1, 2018, Pages 390-401 DOI：10.11948/2018.390 |
| General energy decay for a degenerate viscoelastic Petrovsky-type plate equation with boundary feedback |
| Fushan Li,Guangwei Du |
| Keywords:General energy decay, degenerate Petrovsky plate equation, boundary feedback, function approximation. |
| Abstract: |
| In this paper, we consider a degenerate viscoelastic Petrovsky-type plate equation
\[
K(\mbox{\boldmath $x$})u_{tt}+\Delta^2u-\int_0^tg(t-s)\Delta^2u(s)ds+f(u)=0
\]
with boundary feedback. Under the weaker assumption on the relaxation function, the general energy decay is proved by priori estimates and analysis of Lyapunov-like functional. The exponential decay result and polynomial decay result in some literature are special cases of this paper. |
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