Weak KAM theory for discounted Hamilton–Jacobi equations and its application

Hiroyoshi Mitake, Kohei Soga

研究成果: Article査読

2 被引用数 (Scopus)

抄録

Weak KAM theory for discounted Hamilton–Jacobi equations and corresponding discounted Lagrangian/Hamiltonian dynamics is developed. Then it is applied to error estimates for viscosity solutions in the vanishing discount process. The main feature is to introduce and investigate the family of α-limit points of minimizing curves, with some details in terms of minimizing measures. In error estimates, the family of α-limit points is effectively exploited with properties of the corresponding dynamical systems.

本文言語English
論文番号78
ジャーナルCalculus of Variations and Partial Differential Equations
57
3
DOI
出版ステータスPublished - 2018 6 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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