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math.PR2021
Feller Generators with measurable lower order terms
Franziska Kühn, Markus Kunze
We study perturbations of Feller generators under `lower order terms' with measurable coefficients. We investigate which properties of the original semigroup -- such as positivity,…
math.PR2020
Interior Schauder estimates for elliptic equations associated with Lévy operators
Franziska Kühn
We study the local regularity of solutions to the integro-differential equation associated with the infinitesimal generator of a Lévy process…
math.PR2018
Schauder estimates for equations associated with Lévy generators
Franziska Kühn
We study the regularity of solutions to the integro-differential equation associated with the infinitesimal generator of a Lévy process. We show that gradient estimat…