Details
| Original language | English |
|---|---|
| Pages (from-to) | 247-267 |
| Number of pages | 21 |
| Journal | Differential and Integral Equations |
| Volume | 8 |
| Issue number | 2 |
| Publication status | Published - Feb 1995 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Differential and Integral Equations, Vol. 8, No. 2, 02.1995, p. 247-267.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the qualitative behaviour of some semilinear parabolic problems
AU - Escher, Joachim
AU - Goldstein, J. A.
PY - 1995/2
Y1 - 1995/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84972508401&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84972508401
VL - 8
SP - 247
EP - 267
JO - Differential and Integral Equations
JF - Differential and Integral Equations
SN - 0893-4983
IS - 2
ER -