Optimal Besov differentiability for entropy solutions of the Eikonal equation

2018/02/05 by Ghiraldin, Francesco, Lamy, Xavier · 2 citations
#35B65 #35F20 #35L65 #49-XX #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.01373

Abstract

In this paper we study the Eikonal equation in a bounded planar domain. We prove the equivalence among optimal Besov regularity, the finiteness of every entropy production and the validity of a kinetic formulation.

Cited by

• Rectifiability of entropy productions for weak solutions of the 2D eikonal equation with supercritical regularity
• Compensation effects for anisotropic energies of two-dimensional unit vector fields

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• Arbitrary Order Solutions for the Eikonal Equation using a Discontinuous Galerkin Method