A. Rozkosz

activity

20102026

most citedDirichlet forms and semilinear elliptic equations with measure data

53 citations · 157 across the 23 of their papers we have counts for

collaborators

Showing 2018 · math.APShow all

3 papers · 2 filters

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…