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math.PR2019★ 9 cited
On infinitesimal generators of sublinear Markov semigroups
Franziska Kühn
We establish a Dynkin formula and a Courrège-von Waldenfels theorem for sublinear Markov semigroups. In particular, we show that any sublinear operator on $C_c^{\infty}(\mathbb…
math.PR2019★ 8 cited
Schauder estimates for Poisson equations associated with non-local Feller generators
Franziska Kühn
We show how Hölder estimates for Feller semigroups can be used to obtain regularity results for solutions to the Poisson equation associated with the (extended) infinitesima…