139 citations · 371 across the 33 of their papers we have counts for
41 papers
Nonlocal Meyers' Example
Anna Kh. Balci, Lars Diening, Moritz Kassmann +1
We present nonlocal variants of the famous Meyers' example of limited higher integrability and differentiability. In the limit we recover the standard Meyers' exampl…
The Harnack inequality fails for nonlocal kinetic equations
Moritz Kassmann, Marvin Weidner
We prove that the Harnack inequality fails for nonlocal kinetic equations. Such equations arise as linearized models for the Boltzmann equation without cutoff and are of hypoellipt…
Continuity of solutions to equations with weakly singular nonlocal operators
Sven Jarohs, Moritz Kassmann, Tobias Weth
We prove boundedness and regularity estimates for weak solutions to a class of linear nonlocal equations involving integro-differential operators with almost no order of differenti…
Robust nonlocal trace and extension theorems
Florian Grube, Moritz Kassmann
We prove trace and extension results for Sobolev-type function spaces that are well suited for nonlocal Dirichlet and Neumann problems including those for the fractional -Laplac…
The parabolic Harnack inequality for nonlocal equations
Moritz Kassmann, Marvin Weidner
We complete the local regularity program for weak solutions to linear parabolic nonlocal equations with bounded measurable coefficients. Within the variational framework we prove t…
The divergence theorem and nonlocal counterparts
Solveig Hepp, Moritz Kassmann
We present a new proof of the classical divergence theorem in bounded domains. Our proof is based on a nonlocal analog of the divergence theorem and a rescaling argument. Main ingr…