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math.AP2007★ 1 cited
A mixed problem for the infinity laplacian via Tug-of-War games
Fernando Charro, Jesus Garcia Azorero, Julio D. Rossi
In this paper we prove that a function is the continuous value of the Tug-of-War game described in \cite{PSSW} if and only if it is the unique viscosity s…
math.AP2006
How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
C. Cortazar, M. Elgueta, J. D. Rossi +1
We present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family o…
math.AP2006★ 2 cited
Boundary fluxes for non-local diffusion
C. Cortazar, M. Elgueta, J. D. Rossi +1
We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann probl…