27 citations · 173 across the 52 of their papers we have counts for
5 papers · 2 filters
Tug-of-War games and parabolic problems with spatial and time dependence
Leandro M. Del Pezzo, Julio D. Rossi
In this paper we use probabilistic arguments (Tug-of-War games) to obtain existence of viscosity solutions to a parabolic problem of the form $$ {cases} K_{(x,t)}(D u)u_t (x,t)= \f…
Decay estimates for nonlinear nonlocal diffusion problems in the whole space
Liviu I. Ignat, Damián Pinasco, Julio D. Rossi +1
In this paper we obtain bounds for the decay rate in the $L^r (\rr^d)$-norm for the solutions to a nonlocal and nolinear evolution equation, namely, $$u_t(x,t) = \int_{\rr^d} K(x,y…
Optimal regularity at the free boundary for the infinity obstacle problem
Julio D. Rossi, Eduardo V. Teixeira, José Miguel Urbano
This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obst…
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…
Discontinuous gradient constraints and the infinity Laplacian
Petri Juutinen, Mikko Parviainen, Julio D. Rossi
Motivated by tug-of-war games and asymptotic analysis of certain variational problems, we consider a gradient constraint problem involving the infinity Laplace operator. We prove t…