139 citations · 371 across the 33 of their papers we have counts for
4 papers · 2 filters
Intrinsic scaling properties for nonlocal operators
Moritz Kassmann, Ante Mimica
We study growth lemmas and questions of regularity for generators of Markov processes. The generators are allowed to have an arbitrary order of differentiability less than 2. In ge…
The Dirichlet problem for nonlocal operators
Matthieu Felsinger, Moritz Kassmann, Paul Voigt
In this note we set up the elliptic and the parabolic Dirichlet problem for linear nonlocal operators. As opposed to the classical case of second order differential operators, here…
Hölder Regularity For Integro-Differential Equations With Nonlinear Directional Dependence
Marcus Rang, Moritz Kassmann, Russell W. Schwab
We prove Hölder regularity results for a class of nonlinear elliptic integro-differential operators with integration kernels whose ellipticity bounds are strongly directionally dep…
Regularity results for nonlocal parabolic equations
Moritz Kassmann, Russell W. Schwab
We survey recent regularity results for parabolic equations involving nonlocal operators like the fractional Laplacian. We extend the results of Felsinger-Kassmann (2013) and obtai…