Free Boundary Problems 2026

Higher regularity in nonlocal free boundary problems

11 Sept 2026, 10:00

30m

Main Building/Floor 1-Room 2097 - Lecture Hall (HU (Main Building))

Degenerate PDEs and Free Boundary Problems Degenerate PDEs and Free Boundary Problems

Speaker

Marvin Weidner (University of Bonn)

Description

A classical result by Kinderlehrer-Nirenberg states that C^{1,\alpha} regularity of the free boundary near a regular point implies that the free boundary is smooth. This principle applies to a wide range of free boundary problems for second-order operators. The goal of this talk is to explore counterparts of such higher regularity results for nonlocal free boundary problems, focusing on the nonlocal one-phase and obstacle problem.