This article is cited in 5 papers

Asymptotic behaviour of solutions of a semilinear parabolic equation in a cylindrical domain

I. V. Filimonova

M. V. Lomonosov Moscow State University

Abstract: The asymptotic behaviour as $t\to\infty$ of solutions of a second-order semilinear parabolic equation in a cylindric domain satisfying the homogeneous Neumann boundary conditions at the lateral surface of the domain is described.

UDC: 517.95

MSC: 35B40, 35K60

Received: 07.07.2003

DOI: 10.4213/sm803

 English version: Sbornik: Mathematics, 2004, 195:2, 287–302

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