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Well Posedness and Asymptotic Behavior for Stochastic Reaction-Diffusion Equations with Multiplicative Poisson Noise


 
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1. Title Title of document Well Posedness and Asymptotic Behavior for Stochastic Reaction-Diffusion Equations with Multiplicative Poisson Noise
 
2. Creator Author's name, affiliation, country Carlo Marinelli; University of Bolzano; Italy
 
2. Creator Author's name, affiliation, country Michael Roeckner; University of Bielefeld; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Stochastic PDE, reaction-diffusion equations, Poisson measures, monotone operators.
 
3. Subject Subject classification 60H15; 60G57
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2010-10-15
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/818
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-818
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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