WG4 Research Seminar - Talk by José Mazon
On December 15th, 2021, José Mazon (University of Valencia) will give a talk at 2:30pm CET about
"The Total Variation Flow in Metric Graphs".
The talk will be held online in Zoom as part of the research seminar Analysis of the FernUniversität in Hagen. The zoom URL will be sent to all members of the WG4 and to all further colleagues who send a mail to Delio Mugnolo.
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.