On the qualitative behaviour of some semilinear parabolic problems

authored by

Joachim Escher, J. A. Goldstein

Abstract

This paper is concerned with semilinear reaction-diffusion systems under nonlinear dynamical boundary conditions. We will prove that such problems are well-posed on some Bessel potential spaces and that the corresponding solution defines a local semiflow on these spaces. This result will enable us to investigate the dynamical properties of the solutions under discussion. In particular, we will prove some conclusions concerning global existence and blow up phenomena as well as singular perturbation results.

External Organisation(s)

Universite de Franche-Comte
Budapest University of Technology and Economics

Type

Article

Journal

Differential and Integral Equations

Volume

8

Pages

247-267

No. of pages

21

ISSN

0893-4983

Publication date

02.1995

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Analysis, Applied Mathematics