3 papers
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.PR2024
Shot-down stable processes
Krzysztof Bogdan, Kajetan Jastrzȩbski, Moritz Kassmann +2
The shot-down process is a strong Markov process which is annihilated, or shot down, when jumping over or to the complement of a given open subset of a vector space. Due to specifi…