PDEA Seminar: Green function estimates for nonlocal equations
- Date
- 5 February 2026, 15:15–16:00
- Location
- Ångström Laboratory, 64119 + Zoom
- Type
- Seminar
- Lecturer
- Minhyun Kim (Hanyang University)
- Organiser
- Matematiska institutionen
- Contact person
- Kaj Nyström
Minhyun Kim (Hanyang University) gives this seminar. Please note unusual time and day. Welcome to join!
Abstract: We establish the optimal regularity for solutions to nonlocal elliptic equations with Hölder continuous coefficients in divergence form in bounded $C^{1,\alpha}$ domains. Our proof is based on a delicate higher order Campanato-type iteration at the boundary, which we develop in the context of nonlocal equations and which is quite different from the local theory. As an application of our results, we establish sharp two-sided Green function estimates for the same class of operators.
Participate on site or via Zoom link, meeting ID: 67226102216. Ensure Zoom access by contacting the organisers in advance.
This is a seminar in the PDEs and Applications seminar series.