Linear programming interpretations of mather's variational principle

L. C. Evans*, Diogo Gomes

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We discuss some implications of linear programming for Mather theory [13-15] and its finite dimensional approximations. We find that the complementary slackness condition of duality theory formally implies that the Mather set lies in an n-dimensional graph and as well predicts the relevant nonlinear PDE for the "weak KAM" theory of Fathi [5-8].

Original languageEnglish (US)
Pages (from-to)693-702
Number of pages10
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume8
DOIs
StatePublished - Jun 1 2002

Keywords

  • Duality
  • Linear programming
  • Weak KAM theory

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics

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