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 |
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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