3 papers
math.AP2019
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.AP2019
Regularizing effect of homogeneous evolution equations: case homogeneous order zero
Daniel Hauer, Jose M. Mazon
In this paper, we develop a functional analytical theory for establishing that mild solutions of first-order Cauchy problems involving homogeneous operators of order zero are stron…
math.AP2018
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…