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. (C) 2013 Elsevier Inc. All rights reserved.

A comparison among various notions of viscosity solution for Hamilton-Jacobi equations on networks / Camilli, Fabio; Claudio, Marchi. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 407:1(2013), pp. 112-118. [10.1016/j.jmaa.2013.05.015]

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

CAMILLI, FABIO;
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. (C) 2013 Elsevier Inc. All rights reserved.
networks; hamilton-jacobi equation; hamilton-jacobi equations; viscosity solutions; viscosity solution; network
01 Pubblicazione su rivista::01a Articolo in rivista
A comparison among various notions of viscosity solution for Hamilton-Jacobi equations on networks / Camilli, Fabio; Claudio, Marchi. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 407:1(2013), pp. 112-118. [10.1016/j.jmaa.2013.05.015]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/521618
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