A. Rozkosz

collaborators

3 papers

math.AP2018

Smooth measures and capacities associated with nonlocal parabolic operators

Tomasz Klimsiak, Andrzej Rozkosz

We consider a family ${L_{t}, t \in [0, T]}$ of closed operators generated by a family of regular (non-symmetric) Dirichlet forms ${(B^{(t)}, V), t \in [0, T]}$ on $L^{2} (E; m)$ . We show…

math.AP2018

On the structure of diffuse measures for parabolic capacities

Tomasz Klimsiak, Andrzej Rozkosz

Let $Q = (0, T) \times Ω$ , where $Ω$ is a bounded open subset of $R^{d}$ . We consider the parabolic $p$ -capacity on $Q$ naturally associated with the usual $p$ -Laplacian. Droniou…

math.PR2016

Nonlinear parabolic SPDEs involving Dirichlet operators

Tomasz Klimsiak, Andrzej Rozkosz

We study the problem of existence, uniqueness and regularity of probabilistic solutions of the Cauchy problem for nonlinear stochastic partial differential equations involving oper…