Published · Journal de mathématiques pures et appliquées, 101 (2014) 6, pp. 789-827. We provide an abstract variational existence and uniqueness result for multi-valued, monotone, non-coercive stochastic evolution inclusions in Hilbert spaces with general additive and Wiener multiplicative noise. As examples we discuss certain singular…
Published · Journal of differential equations, 255 (2013) 3, pp. 524-559. The existence of random attractors for singular stochastic partial differential equations (SPDE) perturbed by general additive noise is proven. The drift is assumed only to satisfy the standard assumptions of the variational…
Published · The annals of probability, 42 (2014) 2, pp. 818-864. Unique existence of solutions to porous media equations driven by continuous linear multiplicative space-time rough signals is proven for initial data in $L^1(\mathcal {O})$ on bounded domains $\mathcal {O}$. The generation of…
Published · Journal of functional analysis, 263 (2012) 8, pp. 2355-2383. Unique existence of analytically strong solutions to stochastic partial differential equations (SPDE) with drift given by the subdifferential of a quasi-convex function and with general multiplicative noise is proven. The proof applies…
Published · Journal of differential equations, 251 (2011) 4-5, pp. 1225-1253. The existence of random attractors for a large class of stochastic partial differential equations (SPDE) driven by general additive noise is established. The main results are applied to various types of SPDE,…
Published · Communications in Partial Differential Equations 36(3), 446–469 (2011).
