activity
20182023
most citedThe Heat Flow on Metric Random Walk Spaces

20 citations · 50 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2023

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…

math.AP2022

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…

math.AP2021

Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions

Marcos Solera, Julián Toledo

We study the existence and uniqueness of mild and strong solutions of nonlocal nonlinear diffusion problems of -Laplacian type with nonlinear boundary conditions posed in metric…

math.AP2019★ 6 cited

Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces

José M. Mazón, Marcos Solera, Julián Toledo

In this paper we study evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in the framework of metric random walk spaces. This covers cases with…

math.AP2019★ 4 cited

-decomposition, , of Functions in Metric Random Walk Spaces

J. M. Mazon, M. Solera, J. Toledo

In this paper we study the -decomposition, , of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used…

math.AP2019★ 20 cited

The Total Variation Flow in Metric Random Walk Spaces

J. M. Mazon, M. Solera, J. Toledo

In this paper we study the Total Variation Flow (TVF) in metric random walk spaces, which unifies into a broad framework the TVF on locally finite weighted connected graphs, the TV…

math.AP2018★ 20 cited

The Heat Flow on Metric Random Walk Spaces

José M. Mazon, Marcos Solera, Julián Toledo

In this paper we study the Heat Flow on Metric Random Walk Spaces, which unifies into a broad framework the heat flow on locally finite weighted connected graphs, the heat flow det…