Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise (Q2708187)

The notions of random dynamical systems and global random attractors are generalised to the case of multivalued maps, and conditions for the existence of a global attractor are stated. This is applied to stochastic partial differential inclusions of the form NEWLINE\[NEWLINEdu\in (Au + F(u))dt +\sum^m_{i=1}\phi_i dW_i(t),\quad u(0) = u_0,NEWLINE\]NEWLINE where \(A\) is a dissipative linear operator, \(F\) takes values in the bounded closed convex nonempty subsets of a separable Hilbert space, and \(F\) is Lipschitz with respect to the Hausdorff metric.