| Título: | Well Posedness and Asymptotic Behavior for Stochastic Reaction-Diffusion Equations with Multiplicative Poisson Noise |
| Autores: |
Marinelli, Carlo; University of Bolzano Roeckner, Michael; University of Bielefeld |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Stochastic PDE, reaction-diffusion equations, Poisson measures, monotone operators. 60H15; 60G57 |
| Descripción: | 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 $L_p$ spaces. |
| Idioma: | No aplica |
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