| Issue |
ESAIM: COCV
Volume 19, Number 3, July-September 2013
|
|
|---|---|---|
| Page(s) | 754 - 779 | |
| DOI | https://doi.org/10.1051/cocv/2012032 | |
| Published online | 03 June 2013 | |
Adjoint methods for obstacle problems and weakly coupled systems of PDE
1
Departamento de Matemática Instituto Superior
Técnico, Av. Rovisco
Pais, 1049-001
Lisboa,
Portugal
This email address is being protected from spambots. You need JavaScript enabled to view it.
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2
Department of Mathematics, University of California
Berkeley, CA,
94720-3840,
U.S.A
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
29
February
2012
Revised:
8
August
2012
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.
Mathematics Subject Classification: 35F20 / 35F30 / 37J50 / 49L25
Key words: Adjoint methods / cell problems / Hamilton − Jacobi equations / obstacle problems / weakly coupled systems / weak KAM theory
© EDP Sciences, SMAI, 2013
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