Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise∗
نویسندگان
چکیده
We establish well-posedness in the mild sense for a class of stochastic semilinear evolution equations with a polynomially growing quasi-monotone nonlinearity and multiplicative Poisson noise. We also study existence and uniqueness of invariant measures for the associated semigroup in the Markovian case. A key role is played by a new maximal inequality for stochastic convolutions in Lp spaces .
منابع مشابه
Well-posedness and Ergodicity for Stochastic Reaction-diffusion Equations with Multiplicative Poisson Noise
We establish well-posedness in the mild sense for a class of stochastic semilinear evolution equations with a polynomially growing quasi-monotone nonlinearity and multiplicative Poisson noise. We also study existence and uniqueness of invariant measures for the associated semigroup in the Markovian case. A key role is played by a new maximal inequality for stochastic convolutions in Lp spaces.
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