Published Paper

Inserted: 29 sep 2021
Last Updated: 17 mar 2022

Journal: Nonlinear Analysis
Year: 2022
Doi: https://doi.org/10.1016/j.na.2022.112859

Accepted Feb. 2022

Abstract:

We discuss a purely variational approach to the total variation flow on metric measure spaces with a doubling measure and a Poincaré 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.

Download:

• na_revised.pdf