27 citations · 173 across the 52 of their papers we have counts for
3 papers · 2 filters
Existence, uniqueness and decay rates for evolution equations on trees
Leandro M. Del Pezzo, Carolina A. Mosquera, Julio D. Rossi
We study evolution equations governed by an averaging operator on a directed tree, showing existence and uniqueness of solutions. In addition we find conditions of the initial cond…
An obstacle problem for Tug-of-War games
Juan J. Manfredi, Julio D. Rossi, Stephanie J. Somersille
We consider the obstacle problem for the infinity Laplace equation. Given a Lipschitz boundary function and a Lipschitz obstacle we prove the existence and uniqueness of a super in…
Estimates for Nonlinear Harmonic Measures on Trees
Leandro M. Del Pezzo, Carolina A. Mosquera, Julio D. Rossi
In this paper we give some estimates for nonlinear harmonic measures on trees. In particular, we estimate in terms of the size of a set the value at the origin of the solution…