Wednesday, March 19, 2025 - 14:00 in V2-205
Regularity for the nonlocal Neumann problem
A talk in the Nonlocal Equations: Analysis and Numerics series by
Marvin Weidner from Barcelona
| Abstract: |
The boundary behavior for solutions to nonlocal equations with exterior
Dirichlet boundary conditions has been extensively studied in recent years
and it is well known that, in general, solutions are not better than $C^s$. In
contrast, the Neumann problem for nonlocal equations has received much
less attention, and the optimal boundary regularity of solutions remains
unknown. In this talk, I will present recent progress on this question, based
on a new classification result for solutions to general nonlocal equations in
1D. This is joint work with Serena Dipierro, Xavier Ros-Oton, and Enrico
Valdinoci.
Within the CRC this talk is associated to the project(s): A7 |
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