2000 character limit reached
Variational solutions to the total variation flow on metric measure spaces (2109.11908v2)
Published 24 Sep 2021 in math.AP, math.FA, and math.MG
Abstract: We discuss a purely variational approach to the total variation flow on metric measure spaces with a doubling measure and a Poincar\'e inequality. We apply the concept of parabolic De Giorgi classes together with upper gradients, Newtonian spaces and functions of bounded variation to prove a necessary and sufficient condition for a variational solution to be continuous at a given point.
Collections
Sign up for free to add this paper to one or more collections.