Adjoint methods for obstacle problems and weakly coupled systems of PDE
arXiv:1103.3226
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 common approximation procedures are derived.
final version, ESAIM: Control, Optimisation and Calculus of Variations