N. Fournier, Support theorem for the solution of a white-noise-driven parabolic stochastic partial differential equation with temporal Poissonian jumps, BERNOULLI, 7(1), 2001, pp. 165-190
We study the weak solution X of a parabolic stochastic partial differential
equation driven by two independent processes: a Gaussian white noise and a
finite Poisson measure. We characterize the support of the law of X as the
closure in D([0, T], C([0, 1])), endowed with its Skorokhod topology, of a
set of weak solutions of ordinary partial differential equations.