arXiv:1301.0194 Abstract | arXiv Analytics

arXiv:1301.0194 [math.AP]Abstract References Reviews Resources

A comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks

Published 2013-01-02Version 1

Three definitions of viscosity solutions for Hamilton-Jacobi equations on networks recently appeared in literature ([1,4,6]). Being motivated by various applications, they appear to be considerably different. Aim of this note is to establish their equivalence.

Categories: math.AP, math.OC

Subjects: 35R02, 35F21, 35D40

Keywords: viscosity solutions, hamilton-jacobi equations, comparison, definitions

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