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math.FA2018
Functional inequalities for Feynman-Kac semigroups
James Thompson
Using the tools of stochastic analysis, we prove various gradient estimates and Harnack inequalities for Feynman-Kac semigroups with possibly unbounded potentials. One of the main…
math.FA2018
Uniform gradient estimates on manifolds with a boundary and applications
Li-Juan Cheng, Anton Thalmaier, James Thompson
We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigroups on Riemannian manifolds with boundary. As applications, we obtain isoperime…