A Schauder-Tychonoff fixed-point approach for nonlinear Lévy driven reaction-diffusion systems

Erika Hausenblas, Michael A. Högele, Fahim Kistosil

We show a stochastic version of the Schauder-Tychonoff fixed point theorem which yields a solution of the martingale problem for a class of systems of nonlinear reaction-diffusion…