Premium
Optimal Besov Differentiability for Entropy Solutions of the Eikonal Equation
Author(s) -
Ghiraldin Francesco,
Lamy Xavier
Publication year - 2020
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21868
Subject(s) - eikonal equation , mathematics , differentiable function , bounded function , equivalence (formal languages) , mathematical analysis , entropy (arrow of time) , pure mathematics , thermodynamics , physics
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. © 2019 Wiley Periodicals, Inc.