Local boundedness and concentration phenomenon for the p-Sobolev flow

Kenta Nakamura (Nichidai, Tokyo)

Feb 27. 2025, 16:15 — 16:45

In this talk we present a new quantitative local boundedness for the p-Sobolev flow which is a nonlinear generalization of the gradient flow concerning the p-Dirichlet energy on a bounded domain. Consequently, we can address a volume concentration phenomenon for the p-Sobolev flow. This is joint work with Prof. T. Kuusi and Prof. M. Misawa.

Further Information
Venue:
ESI Boltzmann Lecture Hall
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)