Singularities of solutions of Hamilton-Jacobi equations

Piermarco Cannarsa; Wei Cheng

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arXiv · 2101.02075

Singularities of solutions of Hamilton-Jacobi equations

Piermarco Cannarsa·Wei Cheng

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Abstract

This is a survey paper on the quantitative analysis of the propagation of singularities for the viscosity solutions to Hamilton-Jacobi equations in the past decades. We also review further applications of the theory to various fields such as Riemannian geometry, Hamiltonian dynamical systems and partial differential equations.

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Piermarco Cannarsa, Wei Cheng. 2021-01-06. Singularities of solutions of Hamilton-Jacobi equations. https://arxiv.org/abs/2101.02075

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