Marvin Weidner

activity

20232026

most citedOptimal regularity for nonlocal elliptic equations and free boundary problems

2 citations · 3 across the 13 of their papers we have counts for

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4 papers · 1 filter

math.AP2025

Dirichlet heat kernel estimates for parabolic nonlocal equations

Philipp Svinger, Marvin Weidner

In this article we establish the optimal $C^{s}$ boundary regularity for solutions to nonlocal parabolic equations in divergence form in $C^{1, α}$ domains and prove a higher order bo…

math.AP2025

The Neumann problem for the fractional Laplacian: optimal regularity via the Mellin transform

Serena Dipierro, Xavier Ros-Oton, Enrico Valdinoci +1

We establish the optimal regularity of solutions to the Neumann problem for the fractional Laplacian, $(- Δ)^{s} u = h$ in $Ω$ , with the external condition $N^{s} u = 0$ in $Ω^{c}$ .…

math.AP2025

Higher regularity in nonlocal free boundary problems

Begoña Barrios, Xavier Ros-Oton, Marvin Weidner

We study the higher regularity in nonlocal free boundary problems posed for general integro-differential operators of order $2 s$ . Our main result is for the nonlocal one-phase (Ber…

math.AP2025

Optimal regularity for kinetic Fokker-Planck equations in domains

Xavier Ros-Oton, Marvin Weidner

We study the smoothness of solutions to linear kinetic Fokker-Planck equations in domains $Ω \subset R^{n}$ with specular reflection condition, including Kolmogorov's equatio…