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A finite dimensional linear programming approximation of Mather's variational problem
Published online by Cambridge University Press: 09 October 2009
Abstract
We provide an approximation of Mather variational problem by finite dimensional minimization problems in the framework of Γ-convergence. By a linear programming interpretation as done in [Evans and Gomes, ESAIM: COCV 8 (2002) 693–702] we state a duality theorem for the Mather problem, as well a finite dimensional approximation for the dual problem.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 4 , October 2010 , pp. 1094 - 1109
- Copyright
- © EDP Sciences, SMAI, 2009