WIAS Preprint No. 1124, (2006)
Quasilinear parabolic systems with mixed boundary conditions
- Hieber, Matthias
- Rehberg, Joachim
2010 Mathematics Subject Classification
- 35A05 35B65 35K15 35K20
- Partial differential equations, parabolic operators, maximal regularity, nonsmooth domains, discontinuous coefficients, mixed boundary conditions
In this paper we investigate quasilinear systems of reaction-diffusion equations with mixed Dirichlet-Neumann bondary conditions on non smooth domains. Using techniques from maximal regularity and heat-kernel estimates we prove existence of a unique solution to systems of this type.
- SIAM J. Math. Anal., 40 (2008) pp. 292--305.