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math.AP2024
Homogenization of Hamilton-Jacobi equations on networks
Marco Pozza, Antonio Siconolfi, Alfonso Sorrentino
We prove a homogenization result for a family of time-dependent Hamilton-Jacobi equations, rescaled by a parameter tending to zero, posed on a periodic network, with…
math.AP2021
Representation Formula for Viscosity Solutions to a class of Nonlinear Parabolic PDEs
Marco Pozza
We provide a representation formula for viscosity solutions to a class of nonlinear second order parabolic PDEs given as a sup--envelope function. This is done through a dynamic pr…
math.AP2019
Representation Formula for Viscosity Solutions to Parabolic PDEs with Sublinear Operators
Marco Pozza
We provide a representation formula for viscosity solutions to a class of nonlinear second order parabolic PDE problem involving sublinear operators. This is done through a dynamic…