Erratum to the article Hamilton–Jacobi equations for optimal control on junctions and networks
Achdou, Yves1 ; Oudet, Salomé2 ; Tchou, Nicoletta2
1 Université Paris Diderot, Sorbonne Paris Cité, Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, 75205 Paris, France.
2 IRMAR, Université de Rennes 1, Rennes, France.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 2, pp. 539-542.
corrige Hamilton–Jacobi equations for optimal control on junctions and networks

We correct a mistake which affects an intermediate result, namely the second part of Lemma 4.5. The main results of the article are unchanged.

Reçu le :
DOI : 10.1051/cocv/2016005
Classification : 34H05, 49J15
Mots-clés : Optimal control, networks, Hamilton–Jacobi equations, viscosity solutions
Achdou, Yves 1 ; Oudet, Salomé 2 ; Tchou, Nicoletta 2

1 Université Paris Diderot, Sorbonne Paris Cité, Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, 75205 Paris, France.
2 IRMAR, Université de Rennes 1, Rennes, France. 
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     title = {Erratum to the article {Hamilton{\textendash}Jacobi} equations for optimal control on junctions and networks},
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Achdou, Yves; Oudet, Salomé; Tchou, Nicoletta. Erratum to the article Hamilton–Jacobi equations for optimal control on junctions and networks. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 2, pp. 539-542. doi : 10.1051/cocv/2016005. http://www.numdam.org/articles/10.1051/cocv/2016005/

M. Bardi and I. Capuzzo-Dolcetta, Optimal Control and Viscosity Solutions of Hamilton–Jacobi–Bellman Equations. Systems and Control: Foundations and Applications. With appendices by Maurizio Falcone and Pierpaolo Soravia. Birkhäuser Boston Inc., Boston, MA (1997). | MR | Zbl

G. Barles and B. Perthame, Comparison principle for Dirichlet-type Hamilton–Jacobi equations and singular perturbations of degenerated elliptic equations. Appl. Math. Optim. 21 (1990) 21–44. | DOI | MR | Zbl

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