The existence and uniqueness of nonnegative strong solutions for stochastic porous media equations with noncoercive monotone diffusivity function and Wiener forcing term is proven. The finite timeâ€¦ (More)

In this note, a stabilizing feedback boundary controller for the equilibrium solutions to parabolic equations with Dirichlet boundary control is designed. The feedback controller is expressed inâ€¦ (More)

Here A :D(A) âŠ‚H â†’H is a self-adjoint operator, K = {x âˆˆH :g(x) â‰¤ 1}, where g :Hâ†’ R is convex and of class Câˆž, NK(x) is the normal cone to K at x and W (t) is a cylindrical Wiener process in H (seeâ€¦ (More)

We study the existence theory for parabolic variational inequalities in weighted L 2 spaces with respect to excessive measures associated with a transition semigroup. We characterize the valueâ€¦ (More)

We study the existence theory for parabolic variational inequalities in weighted L spaces with respect to excessive measures associated with a transition semigroup. We characterize the value functionâ€¦ (More)