2000 character limit reached
Well-posedness for a class of dissipative stochastic evolution equations with Wiener and Poisson noise (1110.4100v1)
Published 18 Oct 2011 in math.AP and math.PR
Abstract: We prove existence and uniqueness of mild and generalized solutions for a class of stochastic semilinear evolution equations driven by additive Wiener and Poisson noise. The non-linear drift term is supposed to be the evaluation operator associated to a continuous monotone function satisfying a polynomial growth condition. The results are extensions to the jump-diffusion case of the corresponding ones proved in [4] for equations driven by purely discontinuous noise.