2 papers
math.AP2025
Dirichlet heat kernel estimates for parabolic nonlocal equations
Philipp Svinger, Marvin Weidner
In this article we establish the optimal boundary regularity for solutions to nonlocal parabolic equations in divergence form in domains and prove a higher order b…
math.AP2025
Boundary regularity for non-local operators with symmetric kernels and vanishing horizon
Philipp Svinger
We prove optimal Hölder boundary regularity for a non-local operator with a singular, symmetric kernel that depends on the distance to the boundary of the underlying domain. Addit…