Talk by José Mazon
On December 15th, 2021, Prof. Dr. José Mazon (University of Valencia) gave a talk about "The Total Variation Flow in Metric Graphs" as part of the research seminar Analysis of the FernUniversität in Hagen.
Our aim is to study the Total Variation Flow in Metric Graphs. First, we define the functions of bounded variation in Metric Graphs and their total variation, we also give an integration by parts formula. We prove existence and uniqueness of solutions and that the solutions reach the stationary state in finite time. Moreover, we obtain explicit solutions.