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arxiv: 1802.01373 · v1 · pith:WTZZRMXEnew · submitted 2018-02-05 · 🧮 math.AP

Optimal Besov differentiability for entropy solutions of the Eikonal equation

classification 🧮 math.AP
keywords besoveikonalentropyequationoptimalboundeddifferentiabilitydomain
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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.

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