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 2015Show all

3 papers · 1 filter

math.AP2015★ 18 cited

Renormalized solutions of semilinear equations involving measure data and operator corresponding to Dirichlet form

Tomasz Klimsiak, Andrzej Rozkosz

We generalize the notion of renormalized solution to semilinear elliptic and parabolic equations involving operator associated with general (possibly nonlocal) regular Dirichlet fo…

math.AP2015★ 6 cited

Right Markov processes and systems of semilinear equations with measure data

Tomasz Klimsiak

In the paper we prove the existence of probabilistic solutions to systems of the form $- A u = F (x, u) + μ$ , where $F$ satisfies a generalized sign condition and $μ$ is a smooth measure.…

math.PR2015

Quasi-regular Dirichlet forms and the obstacle problem for elliptic equations with measure data

Tomasz Klimsiak

We consider the obstacle problem with irregular barriers for semilinear elliptic equation involving measure data and operator corresponding to a general quasi-regular Dirichlet for…