The adjoint method, recently introduced by Evans, is used to study obstacle problems, weakly coupled systems, cell problems for weakly coupled systems of Hamilton - Jacobi equations, and weakly coupled systems of obstacle type. In particular, new results about the speed of convergence of some approximation procedures are derived.

Keywords: adjoint methods, cell problems, Hamilton − Jacobi equations, obstacle problems, weakly coupled systems, weak KAM theory

@article{COCV_2013__19_3_754_0, author = {Cagnetti, Filippo and Gomes, Diogo and Tran, Hung Vinh}, title = {Adjoint methods for obstacle problems and weakly coupled systems of {PDE}}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {754--779}, publisher = {EDP-Sciences}, volume = {19}, number = {3}, year = {2013}, doi = {10.1051/cocv/2012032}, zbl = {1273.35090}, mrnumber = {3092361}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv/2012032/} }

TY - JOUR AU - Cagnetti, Filippo AU - Gomes, Diogo AU - Tran, Hung Vinh TI - Adjoint methods for obstacle problems and weakly coupled systems of PDE JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2013 DA - 2013/// SP - 754 EP - 779 VL - 19 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2012032/ UR - https://zbmath.org/?q=an%3A1273.35090 UR - https://www.ams.org/mathscinet-getitem?mr=3092361 UR - https://doi.org/10.1051/cocv/2012032 DO - 10.1051/cocv/2012032 LA - en ID - COCV_2013__19_3_754_0 ER -

%0 Journal Article %A Cagnetti, Filippo %A Gomes, Diogo %A Tran, Hung Vinh %T Adjoint methods for obstacle problems and weakly coupled systems of PDE %J ESAIM: Control, Optimisation and Calculus of Variations %D 2013 %P 754-779 %V 19 %N 3 %I EDP-Sciences %U https://doi.org/10.1051/cocv/2012032 %R 10.1051/cocv/2012032 %G en %F COCV_2013__19_3_754_0

Cagnetti, Filippo; Gomes, Diogo; Tran, Hung Vinh. Adjoint methods for obstacle problems and weakly coupled systems of PDE. ESAIM: Control, Optimisation and Calculus of Variations, Volume 19 (2013) no. 3, pp. 754-779. doi : 10.1051/cocv/2012032. http://archive.numdam.org/articles/10.1051/cocv/2012032/

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