On the qualitative behaviour of some semilinear parabolic problems

verfasst von

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.

Externe Organisation(en)

Universite de Franche-Comte
Budapest University of Technology and Economics

Typ

Artikel

Journal

Differential and Integral Equations

Band

8

Seiten

247-267

Anzahl der Seiten

21

ISSN

0893-4983

Publikationsdatum

02.1995

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis, Angewandte Mathematik