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A course on weak KAM theory (weak Kolmogorov-Arnold-Moser theory)
40 videos670 viewsLast updated on Aug 16, 2021
A course on weak KAM theory taught from the viewpoints of Hamiltonian dynamics (mainly) and PDE. This was taught in Spring 2021 at UW Madison as Math 807.

The course contains 40 lectures. Some main references.

1. A. Fathi, Weak KAM theorem in Lagrangian dynamics, to appear in Cambridge Studies in Advanced Mathematics.

2. H. Ishii, Lecture notes on the weak KAM theorem, lecture notes available on Ishii’s website.

3. H. V. Tran, Hamilton--Jacobi equations: theory and applications, AMS Graduate Studies in Mathematics, Volume 213, ISBN 9781470465117, 1470465116, to appear.

Further references and lecture notes will be available later.

Lecture notes: https://people.math.wisc.edu/~thaison/Notes/Math807.pdf

似乎不错，要是发现特别好我再置顶。置顶都快放不下了
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