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

2013/01/02 by Fabio Camilli, Camilli, Fabio, Claudio Marchi +1
Mathematics · Medicine · #35D40 #35F21 #35R02 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #math.AP #math.OC #msc:35D40 #msc:35F21 #msc:35R02

paper · pdf · doi:10.48550/arxiv.1301.0194

arxiv created 2013/01/02 · openalex publication_date 2013/01/02 · arxiv updated 2013/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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