Mathematical Analysis Seminars @ DISIM

Title: Quantitative vanishing viscosity approximation of fully nonlinear, non-convex, Hamilton-Jacobi equations with Hölder data.

Abstract: We discuss new quantitative estimates of the vanishing viscosity process for evolutionary Hamilton-Jacobi PDEs that are neither concave nor convex in the gradient and Hessian entries. I will describe a novel approach that exploits the regularizing properties of sup/inf-convolutions for viscosity solutions combined with the comparison principle. This method provides explicit sharp constants without assuming differentiability properties neither on solutions nor on the Hamiltonian. This is a joint work with Alekos Cecchin (Padova).