Regularity theory for Hamilton-Jacobi equations

Diogo Aquiar Gomes

doi:10.1016/S0022-0396(02)00013-X

Regularity theory for Hamilton-Jacobi equations

Diogo Aquiar Gomes^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The objective of this paper is to discuss the regularity of viscosity solutions of time independent Hamilton-Jacobi Equations. We prove analogs of the KAM theorem, show stability of the viscosity solutions and Mather sets under small perturbations of the Hamiltonian.

Original language	English (US)
Pages (from-to)	359-374
Number of pages	16
Journal	Journal of Differential Equations
Volume	187
Issue number	2
DOIs	https://doi.org/10.1016/S0022-0396(02)00013-X
State	Published - Jan 20 2003
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-0396(02)00013-X

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title = "Regularity theory for Hamilton-Jacobi equations",

abstract = "The objective of this paper is to discuss the regularity of viscosity solutions of time independent Hamilton-Jacobi Equations. We prove analogs of the KAM theorem, show stability of the viscosity solutions and Mather sets under small perturbations of the Hamiltonian.",

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AB - The objective of this paper is to discuss the regularity of viscosity solutions of time independent Hamilton-Jacobi Equations. We prove analogs of the KAM theorem, show stability of the viscosity solutions and Mather sets under small perturbations of the Hamiltonian.

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DO - 10.1016/S0022-0396(02)00013-X

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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Regularity theory for Hamilton-Jacobi equations

Abstract

ASJC Scopus subject areas

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