Volume 19, Number 3, July-September 2013
|Page(s)||754 - 779|
|Published online||03 June 2013|
Adjoint methods for obstacle problems and weakly coupled systems of PDE
Departamento de Matemática Instituto Superior
Técnico, Av. Rovisco
2 Department of Mathematics, University of California Berkeley, CA, 94720-3840, U.S.A
Revised: 8 August 2012
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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