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
;
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.
2021
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05
Settore MATH-03/A - Analisi matematica
English
Con Impact Factor ISI
Hamilton
Jacobi equation
viscosity solution
propagation of singularities
singular characteristics
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].
Cannarsa, P; Cheng, W
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/389745
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