Tomasz Klimsiak

activity

20092026

most citedDirichlet forms and semilinear elliptic equations with measure data

53 citations · 217 across the 49 of their papers we have counts for

collaborators

Showing 2018 · math.APShow all

4 papers · 2 filters

math.AP2018

Reflected BSDEs and obstacle problem for semilinear PDEs in divergence form

Tomasz Klimsiak

We consider the Cauchy problem for semilinear parabolic equation in divergence form with obstacle. We show that under natural conditions on the right-hand side of the equation and…

math.AP2018★ 2 cited

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.AP2018★ 3 cited

On semilinear elliptic equations with diffuse measures

Tomasz Klimsiak, Andrzej Rozkosz

We consider semilinear equation of the form $- Lu = f (x, u) + μ$ , where $L$ is the operator corresponding to a transient symmetric regular Dirichlet form $E$ , $μ$ is a diffuse…