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

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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https://hal.inria.fr/hal-00800506
Contributor : Estelle Bouzat <>
Submitted on : Wednesday, March 13, 2013 - 5:45:05 PM
Last modification on : Friday, May 21, 2021 - 1:46:04 PM

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Fabio Camilli, Claudio Marchi. A comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks. Journal of Mathematical Analysis and Applications, Elsevier, 2013, 407 (1), pp.112-118. ⟨10.1016/j.jmaa.2013.05.015⟩. ⟨hal-00800506⟩

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