Optimal Besov differentiability for entropy solutions of the eikonal equations

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Sala Seminari "-1"
Ore: 14:00

Relatore:

• Francesco Ghiraldin (Universitaet Basel)

Abstract:

In this talk I will present a recent result obtained in collaboration with Xavier Lamy (Toulouse) on the eikonal equation in a bounded planar domain.
After a brief discussion on the properties of the eikonal equation, its relations with the Aviles-Giga functional and with conservation laws, I will present the main result, stating the equivalence among differentiability properties of the solution, finiteness of certain entropy productions, and the existence of a kinetic formulation. If time permits, I will also present a weaker regularity result based on the div-curl lemma.

Contact person:  Andrea Pinamonti