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Weak KAM from a PDE point of view: viscosity solutions of the Hamilton–Jacobi equation and Aubry set

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012
A. Fathi
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Nonlinear optimal control: alternatives to Hamilton-Jacobi equation

Proceedings of 35th IEEE Conference on Decision and Control, 1996
Yun Huang, Wei-Min Lu
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Computational method for the quantum Hamilton-Jacobi equation: one-dimensional scattering problems.

Physical review. E, Statistical, nonlinear, and soft matter physics, 2006
Chia-Chun Chou, R. Wyatt
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