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math.AP2020
On the maximum principles and the quantitative version of the Hopf lemma for uniformly elliptic integro-differential operators
Tomasz Klimsiak, Tomasz Komorowski
In the present paper we prove estimates on {subsolutions of the equation }, , where is a domain (i.e. an open and connected set) and is a…
math.AP2020
On uniqueness and structure of renormalized solutions to integro-differential equations with general measure data
Tomasz Klimsiak
We propose a new definition of renormalized solution to linear equation with self-adjoint operator generating a Markov semigroup and bounded Borel measure on the right-hand side. W…