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Gamma convergence on path-spaces via convergence of viscosity solutions of Hamilton-Jacobi equations

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abstract

We establish a framework that allows to prove Gamma-converge of functionals of Lagrangian form on spaces of trajectories based on convergence of viscosity solutions of associated Hamilton-Jacobi equations. Gamma convergence follows from a: equi-coercivity, b: Gamma convergence of the projected functional at time 0, c: convergence of the Hamiltonians that appear as Legendre transform of the Lagrangian in the path-space functional.

fields

math.AP 1

years

2023 1

verdicts

UNVERDICTED 1

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