Matthias Hieber

TU Darmstadt (Germany)

Quasilinear systems with mixed boundary conditions

In this talk we investigate quasi-linear systems of reaction-diffusion equations with mixed Dirichlet-Neumann boundary conditions on non-smooth domains. Using techniques from maximal regularity and heat-kernel estimates we prove the existence of a unique solution to systems of this type. This is joint work with J. Rehberg (WIAS Berlin).