no. 3
Adjoint methods for obstacle problems and weakly coupled systems of PDE
ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 3, pp. 754-779

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.

DOI : 10.1051/cocv/2012032
Classification : 35F20, 35F30, 37J50, 49L25
Keywords: adjoint methods, cell problems, Hamilton − Jacobi equations, obstacle problems, weakly coupled systems, weak KAM theory 
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     title = {Adjoint methods for obstacle problems and weakly coupled systems of {PDE}},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {754--779},
     year = {2013},
     publisher = {EDP Sciences},
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     doi = {10.1051/cocv/2012032},
     mrnumber = {3092361},
     zbl = {1273.35090},
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     url = {https://www.numdam.org/articles/10.1051/cocv/2012032/}
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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, Tome 19 (2013) no. 3, pp. 754-779. doi: 10.1051/cocv/2012032

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