# MathSciDoc: An Archive for Mathematician ∫

#### Distinguished Paper Award in 2017

2016
We address the topology of the set of singularities of a solution of a Hamilton-Jacobi equation. For this we will apply the idea of the first two authors (Generalized characteristic and Lax-Oleinik operators: global result, preprint, arXiv:1605.07581, 2016.) to use the positive Lax-Oleinik semi-group to propagate singularities. {\it To cite this article: P. Cannarsa, W. Cheng, A. Fathi, C. R. Acad. Sci. Paris, Ser. I 340 (2005).
weak KAM theory; Singularity; Cut Locus; Local contractible
@inproceedings{piermarco2016on,
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