Category Archives: IN EVIDENZA

Lecture: “Optimal Besov differentiability for entropy solutions of the eikonal equations”

To whom it may concern
Lecture: “Optimal Besov differentiability for entropy solutions of the eikonal equations
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.
Lecturer: Francesco Ghiraldin (Basilea)
When: Thursday, 7th of June, at 2:00 p.m.
Where: Room 3014, Third Floor, Building U5