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

   
@article{EJP818,
	author = {Carlo Marinelli and Michael Roeckner},
	title = {Well Posedness and Asymptotic Behavior for Stochastic Reaction-Diffusion Equations with Multiplicative Poisson Noise},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Stochastic PDE, reaction-diffusion equations, Poisson measures, monotone operators.},
	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.},
	pages = {no. 49, 1529-1555},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-818},    
        url = {http://ejp.ejpecp.org/article/view/818}}