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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 , where satisfies a generalized sign condition and is a smooth measure.…