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 |
Keywords
- L -coefficients
- Mixed dirichlet-neumann conditions
- Quasilinear parabolic system
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Computational Mathematics
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Cite this
Hieber, M. G., & Rehberg, J. (2008). Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. SIAM Journal on Mathematical Analysis, 40(1), 292-305. https://doi.org/10.1137/070683829