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.
Cannarsa, P., Cheng, W. (2021). Singularities of Solutions of Hamilton–Jacobi Equations. MILAN JOURNAL OF MATHEMATICS, 89(1), 187-215 [10.1007/s00032-021-00330-1].
Singularities of Solutions of Hamilton–Jacobi Equations
Piermarco Cannarsa
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2021-01-01
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.File in questo prodotto:
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