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math.AP2025
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…
math.AP2025
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…
math.AP2024
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…