Three definitions of viscosity solutions for Hamilton–Jacobi equations on networks recently appeared in literature (Achdou et al. (2013) [1], Imbert et al. (2013) [4], Schieborn and Camilli (2013) [6]). Being motivated by various applications, they appear to be considerably different. The aim of this note is to establish their equivalence.
A comparison among various notions of viscosity solution for Hamilton–Jacobi equations on networks
MARCHI, CLAUDIO
2013
Abstract
Three definitions of viscosity solutions for Hamilton–Jacobi equations on networks recently appeared in literature (Achdou et al. (2013) [1], Imbert et al. (2013) [4], Schieborn and Camilli (2013) [6]). Being motivated by various applications, they appear to be considerably different. The aim of this note is to establish their equivalence.
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