Some recent results on the mixed local and nonlocal problems

Chao Zhang (HIT, Harbin)

Feb 25. 2025, 15:45 — 16:15

In recent years, significant progress has been made in establishing regularity results for the local and nonlocal functionals or equations with non-standard growth. In this talk, we first briefly review some known regularity results for the nonlocal problems. Then we focus on the regularity of mixed local and nonlocal problems, which includes the higher Sobolev, Hölder regularity and weak Harnack type estimates of solutions.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Degenerate and Singular PDEs (Workshop)
Organizer(s):
Verena Bögelein (PLUS, Salzburg)
Ugo Gianazza (U of Pavia)
Juha Kinnunen (Aalto U)
Naian Liao (PLUS, Salzburg)