In the talk I present a reaction diffusion equation driven by Poissonian noise respective Levy noise.
The main result which will be presented is the existence of the solution.
For this aim we first present the existence of a martingale solution for an SPDE of a parabolic
type driven by a Poisson random measure with only
continuous and bounded coefficients. This result is transferred to an parabolic SPDE driven by Levy noise.
Then, the existence of a martingale solution of reaction diffusion type, also driven by Poissonian noise respective Levy noise can be shown. This is a joint work with Brzezniak and Rzafimandimby.