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FIELD
Math: HCMC
DATE
Feb 24 (Tue), 2026
TIME
16:00 ~ 17:00
PLACE
8309
SPEAKER
Nakamura, Kenta
HOST
Kim, Wontae
INSTITUTE
Nihon University
TITLE
[HG_AP] Volume concentration phenomenon for the p-Sobolev flow
ABSTRACT
We provide 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. In the case p=2, the p-Sobolev flow is the heat flow. This estimate enables us to observe a volume concentration phenomenon for the p-Sobolev flow. This is based on a joint work with Tuomo Kuusi and Masashi Misawa.
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