Differential and Integral Equations
- Differential Integral Equations
- Volume 8, Number 2 (1995), 247-267.
On the qualitative behaviour of some semilinear parabolic problems
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.
Article information
Source
Differential Integral Equations, Volume 8, Number 2 (1995), 247-267.
Dates
First available in Project Euclid: 20 May 2013
Permanent link to this document
https://projecteuclid.org/euclid.die/1369083468
Mathematical Reviews number (MathSciNet)
MR1296123
Zentralblatt MATH identifier
0814.35053
Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35Bxx: Qualitative properties of solutions 35D05
Citation
Escher, Joachim. On the qualitative behaviour of some semilinear parabolic problems. Differential Integral Equations 8 (1995), no. 2, 247--267. https://projecteuclid.org/euclid.die/1369083468
