Feller Generators with measurable lower order terms

Franziska Kühn; Markus Kunze

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arXiv · 2108.02542

Feller Generators with measurable lower order terms

Franziska Kühn·Markus Kunze

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Abstract

We study perturbations of Feller generators under `lower order terms' with measurable coefficients. We investigate which properties of the original semigroup -- such as positivity, conservativeness and the Feller property -- are passed to the perturbed semigroup. We give several examples and discuss applications in the theory of martingale problems and stochastic differential equations with measurable coefficients.

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Franziska Kühn, Markus Kunze. 2021-08-05. Feller Generators with measurable lower order terms. https://arxiv.org/abs/2108.02542

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