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.

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},
     publisher = {EDP-Sciences},
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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, 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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