Open Access
Translator Disclaimer
2010 Well-Posedness and Asymptotic Behavior for Stochastic Reaction-Diffusion Equations with Multiplicative Poisson Noise
Carlo Marinelli, Michael Roeckner
Author Affiliations +
Electron. J. Probab. 15: 1529-1555 (2010). DOI: 10.1214/EJP.v15-818

Abstract

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.

Citation

Download Citation

Carlo Marinelli. Michael Roeckner. "Well-Posedness and Asymptotic Behavior for Stochastic Reaction-Diffusion Equations with Multiplicative Poisson Noise." Electron. J. Probab. 15 1529 - 1555, 2010. https://doi.org/10.1214/EJP.v15-818

Information

Accepted: 15 October 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 1225.60108
MathSciNet: MR2727320
Digital Object Identifier: 10.1214/EJP.v15-818

Subjects:
Primary: 60H15
Secondary: 60G57

JOURNAL ARTICLE
27 PAGES


SHARE
Vol.15 • 2010
Back to Top