Convergence to equilibrium for the semilinear parabolic equation with dynamical boundary condition

Details Convergence to equilibrium for the semilinear parabolic equation with dynamical boundary condition Convergence to equilibrium for the semilinear parabolic equation with dynamical boundary condition

2012-04-26

arxiv.org/abs/1204.6018v1

Advances in Mathematical Sciences and Application, Vol.17, No.1 (2007), pp.67--88

Mathematics

Analysis of PDEs

Scientific paper

This paper is concerned with the asymptotic behavior of the solution to the
semilinear parabolic equation with dynamical boundary condition. Our main goal
is to prove the convergence of a global solution to an equilibrium as time goes
to infinity by means of a suitable \L ojasiewicz--Simon type inequality.

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