Augmented Lagrangian methods for degenerate Hamilton–Jacobi equations

We suggest a new approach to solve a class of degenerate Hamilton–Jacobi equations without any assumptions on the emptiness of the Aubry set. It is based on the characterization of the maximal subsolution by means of the Fenchel–Rockafellar duality. This approach enables us to use augmented Lagrangi...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2021-12, Vol.60 (6), Article 238
Hauptverfasser:	Ennaji, Hamza, Igbida, Noureddine, Nguyen, Van Thanh
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximation Calculus of Variations and Optimal Control Optimization Control Finite difference method Mathematical analysis Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical methods Optimal control Systems Theory Theoretical
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