4 papers
Two models forsandpile growth in weighted graphs
J. M. Mazon, J. Toledo
In this paper we study -Laplacian type diffusion equations in weighted graphs obtained as limit as to two types of -Laplacian evolution equations in such g…
Torsional rigidity in random walk spaces
Jose M. Mazon, Julian Toledo
In this paper we study the (nonlocal) torsional rigidity in the ambient space of random walk spaces. We get the relation of the (nonlocal) torsional rigidity of a set with the…
Cahn-Hilliard Equations on Random Walk Spaces
José M. Mazón, Julián Toledo
In this paper we study a nonlocal Cahn-Hilliard model (CHE) in the framework of random walk spaces, which includes as particular cases, the CHE on locally finite weighted connected…
The Total Variation Flow in Metric Graphs
Jose M. Mazon
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 integ…