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math.AP2023
Semi-linear parabolic equations on homogeneous Lie groups arising from mean field games
Paola Mannucci, Claudio Marchi, Cristian Mendico
The existence and the uniqueness of solutions to some semilinear parabolic equations on homogeneous Lie groups, namely, the Fokker-Planck equation and the Hamilton-Jacobi equation,…
math.AP2023
A continuous dependence estimate for viscous Hamilton-Jacobi equations on networks with applications
Fabio Camilli, Claudio Marchi
We study continuous dependence estimates for viscous Hamilton- Jacobi equations defined on a network Gamma. Given two Hamilton-Jacobi equations, we prove an estimate of the C2-norm…