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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
