no. 2
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.

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. 
@article{COCV_2016__22_2_539_0,
     author = {Achdou, Yves and Oudet, Salom\'e and Tchou, Nicoletta},
     title = {Erratum to the article {Hamilton{\textendash}Jacobi} equations for optimal control on junctions and networks},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {539--542},
     publisher = {EDP-Sciences},
     volume = {22},
     number = {2},
     year = {2016},
     doi = {10.1051/cocv/2016005},
     zbl = {1455.49016},
     mrnumber = {3491782},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/cocv/2016005/}
}
TY  - JOUR
AU  - Achdou, Yves
AU  - Oudet, Salomé
AU  - Tchou, Nicoletta
TI  - Erratum to the article Hamilton–Jacobi equations for optimal control on junctions and networks
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2016
SP  - 539
EP  - 542
VL  - 22
IS  - 2
PB  - EDP-Sciences
UR  - http://archive.numdam.org/articles/10.1051/cocv/2016005/
DO  - 10.1051/cocv/2016005
LA  - en
ID  - COCV_2016__22_2_539_0
ER  - 
%0 Journal Article
%A Achdou, Yves
%A Oudet, Salomé
%A Tchou, Nicoletta
%T Erratum to the article Hamilton–Jacobi equations for optimal control on junctions and networks
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2016
%P 539-542
%V 22
%N 2
%I EDP-Sciences
%U http://archive.numdam.org/articles/10.1051/cocv/2016005/
%R 10.1051/cocv/2016005
%G en
%F COCV_2016__22_2_539_0
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://archive.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

Cité par Sources :