Viscosity solutions of Hamilton-Jacobi equation in $RCD(K,\infty )$ spaces and applications to large deviations

Nicola Gigli, Luca Tamanini, Dario Trevisan

The aim of this paper is twofold. - In the setting of RCD(K,$\infty$) metric measure spaces, we derive uniform gradient and Laplacian contraction estimates along solutions of the v…