# Adjoint methods for obstacle problems and weakly coupled systems of PDE

Filippo Cagnetti; Diogo Gomes; Hung Vinh Tran

ESAIM: Control, Optimisation and Calculus of Variations (2013)

- Volume: 19, Issue: 3, page 754-779
- ISSN: 1292-8119

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topCagnetti, Filippo, Gomes, Diogo, and Tran, Hung Vinh. "Adjoint methods for obstacle problems and weakly coupled systems of PDE." ESAIM: Control, Optimisation and Calculus of Variations 19.3 (2013): 754-779. <http://eudml.org/doc/272901>.

@article{Cagnetti2013,

abstract = {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.},

author = {Cagnetti, Filippo, Gomes, Diogo, Tran, Hung Vinh},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {adjoint methods; cell problems; Hamilton − Jacobi equations; obstacle problems; weakly coupled systems; weak KAM theory},

language = {eng},

number = {3},

pages = {754-779},

publisher = {EDP-Sciences},

title = {Adjoint methods for obstacle problems and weakly coupled systems of PDE},

url = {http://eudml.org/doc/272901},

volume = {19},

year = {2013},

}

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

PB - EDP-Sciences

VL - 19

IS - 3

SP - 754

EP - 779

AB - 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.

LA - eng

KW - adjoint methods; cell problems; Hamilton − Jacobi equations; obstacle problems; weakly coupled systems; weak KAM theory

UR - http://eudml.org/doc/272901

ER -

## References

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