Abstract
In this paper we investigate quasilinear systems of reaction-diffusion equations with mixed Dirichlet-Neumann boundary conditions on nonsmooth domains. Using techniques from maximal regularity and heat-kernel estimates we prove the existence of a unique solution to systems of this type.
| Original language | English |
|---|---|
| Pages (from-to) | 292-305 |
| Number of pages | 14 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2008 |
| Externally published | Yes |
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Keywords
- L -coefficients
- Mixed dirichlet-neumann conditions
- Quasilinear parabolic system
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Computational Mathematics
Cite this
Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. / Hieber, Matthias Georg; Rehberg, Joachim.
In: SIAM Journal on Mathematical Analysis, Vol. 40, No. 1, 2008, p. 292-305.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains
AU - Hieber, Matthias Georg
AU - Rehberg, Joachim
PY - 2008
Y1 - 2008
N2 - In this paper we investigate quasilinear systems of reaction-diffusion equations with mixed Dirichlet-Neumann boundary conditions on nonsmooth domains. Using techniques from maximal regularity and heat-kernel estimates we prove the existence of a unique solution to systems of this type.
AB - In this paper we investigate quasilinear systems of reaction-diffusion equations with mixed Dirichlet-Neumann boundary conditions on nonsmooth domains. Using techniques from maximal regularity and heat-kernel estimates we prove the existence of a unique solution to systems of this type.
KW - L -coefficients
KW - Mixed dirichlet-neumann conditions
KW - Quasilinear parabolic system
UR - http://www.scopus.com/inward/record.url?scp=61849116177&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=61849116177&partnerID=8YFLogxK
U2 - 10.1137/070683829
DO - 10.1137/070683829
M3 - Article
AN - SCOPUS:61849116177
VL - 40
SP - 292
EP - 305
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 1
ER -