Quasilinear Parabolic Systems with Mixed Boundary Conditions on Nonsmooth Domains
Matthias Hieber, Joachim Rehberg · SIAM Journal on Mathematical Analysis · 2008
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.