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The poster is devoted to the behavior of energy (generalized)
solutions for a wide class of nonlinear higher order parabolic
equations. We investigate the Cauchy-Dirichlet problem for
parabolic equations with nonlinear homogeneous principal part and
degenerate nonlinear absorption potential.
The main focus of our study is the long-time extinction effect of
solutions. Modifying the semi-classical technic of
\cite{BelaudShishkov}, we find sufficient conditions for the
extinction of solutions to the mentioned problem above.
\bibitem {BelaudShishkov} Y. Belaud, A. Shishkov, Extinction of solutions of some semilinear higher order parabolic equations with degenerate absorption
potential, \emph{Journal of Differential Equations}, {\bf 10},
(2010), N~4, p. 857--882. |
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