Università degli Studi di Padova

“Maximal regularity for viscous Hamilton-Jacobi equations”

Venerdì 15 Maggio 2020, ore 15:00 - Zoom - Marco Cirant (Dipartimento di Matematica “Tullio Levi-Civita”)

Abstract

I will discuss in the talk some results on the regularity of solutions to quasi-linear elliptic equations of Hamilton-Jacobi type. I will in particular address a problem of “maximal regularity”, conjectured some years ago by P.-L. Lions, and present a proof based on a refined version of the Bernstein method.

Joint work with A. Goffi (Padova).