Feller Generators with measurable lower order terms
Probability
2021-08-06 v1 Functional Analysis
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.
Cite
@article{arxiv.2108.02542,
title = {Feller Generators with measurable lower order terms},
author = {Franziska Kühn and Markus Kunze},
journal= {arXiv preprint arXiv:2108.02542},
year = {2021}
}
Comments
32 pages, no figures