Adjoint methods for obstacle problems and weakly coupled systems of PDE

Filippo Cagnetti, Diogo Gomes, Hung Vinh Tran

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

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 some approximation procedures are derived.

Original languageEnglish (US)
Pages (from-to)754-779
Number of pages26
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume19
Issue number3
DOIs
StatePublished - Jul 1 2013

Keywords

  • Adjoint methods
  • Cell problems
  • Hamilton - Jacobi equations
  • Obstacle problems
  • Weak KAM theory
  • Weakly coupled systems

ASJC Scopus subject areas

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

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