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A finite dimensional linear programming approximation of Mather's variational problem

Published online by Cambridge University Press:  09 October 2009

Luca Granieri
Luca Granieri*
Affiliation:
Dipartimento di Matematica Politecnico di Bari, via Orabona 4, 70125 Bari, Italy. l.granieri@poliba.it, granieriluca@libero.it
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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.

Keywords

Mather problemminimal measureslinear programmingΓ-convergence
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

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