Jennifer Krüger (Berlin)
In this talk we will discuss the existence and uniqueness of solutions to the stochastic neural field equation with Heaviside firing rate, which can be categorized as a nonlocal (stochastic) differential equation with discontinuous nonlinearity. We will construct mild solutions of the deterministic as well as for the stochastic field equation by a
fixed-point iteration and will then see that in the deterministic setting uniqueness fails to hold for a certain class of initial conditions.
