14 citations · 36 across the 11 of their papers we have counts for
4 papers · 1 filter
Systems involving mean value formulas on trees
Alfredo Miranda, Carolina A. Mosquera, Julio D. Rossi
In this paper we study the Dirichlet problem for systems of mean value equations on a regular tree. We deal both with the directed case (the equations verified by the components of…
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…
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…
The unique continuation property for a nonlinear equation on trees
Leandro M. Del Pezzo, Carolina A. Mosquera, Julio D. Rossi
In this paper we study the game Laplacian on a tree, that is, her…