Abstract
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.
Original language | English |
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Article number | 78 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 57 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2018 Jun 1 |
Keywords
- 35B40
- 37J50
- 49L25
ASJC Scopus subject areas
- Analysis
- Applied Mathematics