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 Well-posedness for a class of dissipative stochastic evolution equations with Wiener and Poisson noise


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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.



Author: Carlo Marinelli

Source: https://archive.org/







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