Optimal Besov differentiability for entropy solutions of the eikonal equations
Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3898-1980.
dept.math [at] unitn.it
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