Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 55, No. 4, pp. 401-409 (1998)

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Exponential Stability of Positive Solutions to Some Nonlinear Heat Equations

Mohamed Ali Jendoubi

Département de Mathématiques, Bat. Fermat, Université de Versailles,
45 Av. des États Unies, 78035 Versailles - FRANCE
E-mail: jendoubi@math.uvsq.fr

Abstract: Following a recent work of A. Haraux in which he proves exponential stability of positive solutions of a heat equation with strictly convex nonlinearity, the same property is shown for a suitable perturbation of the nonlinearity which can, in particular, be non convex.

Keywords: Exponential stability; nonautonomous parabolic equation; elliptic equation.

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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