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Adjoint methods for obstacle problems and weakly coupledsystems of PDE

Published online by Cambridge University Press:  03 June 2013

Filippo Cagnetti,
Diogo Gomes and
Hung Vinh Tran
Filippo Cagnetti
Affiliation:
Departamento de Matemática Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal. cagnetti@math.ist.utl.pt; dgomes@math.ist.utl.pt
Diogo Gomes
Affiliation:
Departamento de Matemática Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal. cagnetti@math.ist.utl.pt; dgomes@math.ist.utl.pt
Hung Vinh Tran
Affiliation:
Department of Mathematics, University of California Berkeley, CA, 94720-3840, U.S.A; tvhung@math.berkeley.edu

Abstract

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

Keywords

Adjoint methodscell problemsHamilton − Jacobi equationsobstacle problemsweakly coupled systemsweak KAM theory

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 3 , July 2013, pp. 754 - 779
Copyright
© EDP Sciences, SMAI, 2013

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