Asymptotic lipschitz regularity of viscosity solutions of hamilton-jacobi equations

Xia Li; Lin Wang

doi:10.1090/proc/13816

Asymptotic lipschitz regularity of viscosity solutions of hamilton-jacobi equations

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

Abstract

For each continuous initial data φ(x) ∈ C(M,ℝ), we obtain the asymptotic Lipschitz regularity of the viscosity solution of the following evolutionary Hamilton-Jacobi equation with convex and coercive Hamiltonians (Formula Presented).

Original language	English
Pages (from-to)	1571-1583
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	4
DOIs	https://doi.org/10.1090/proc/13816
Publication status	Published - 2018
Externally published	Yes

Keywords

Asymptotic Lipschitz regularity
Hamilton-Jacobi equations
Viscosity solutions

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10.1090/proc/13816

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Li, X., & Wang, L. (2018). Asymptotic lipschitz regularity of viscosity solutions of hamilton-jacobi equations. Proceedings of the American Mathematical Society, 146(4), 1571-1583. https://doi.org/10.1090/proc/13816

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title = "Asymptotic lipschitz regularity of viscosity solutions of hamilton-jacobi equations",

abstract = "For each continuous initial data φ(x) ∈ C(M,ℝ), we obtain the asymptotic Lipschitz regularity of the viscosity solution of the following evolutionary Hamilton-Jacobi equation with convex and coercive Hamiltonians (Formula Presented).",

keywords = "Asymptotic Lipschitz regularity, Hamilton-Jacobi equations, Viscosity solutions",

author = "Xia Li and Lin Wang",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2018",

doi = "10.1090/proc/13816",

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pages = "1571--1583",

journal = "Proceedings of the American Mathematical Society",

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AU - Li, Xia

AU - Wang, Lin

PY - 2018

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AB - For each continuous initial data φ(x) ∈ C(M,ℝ), we obtain the asymptotic Lipschitz regularity of the viscosity solution of the following evolutionary Hamilton-Jacobi equation with convex and coercive Hamiltonians (Formula Presented).

KW - Asymptotic Lipschitz regularity

KW - Hamilton-Jacobi equations

KW - Viscosity solutions

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DO - 10.1090/proc/13816

M3 - Article

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EP - 1583

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Asymptotic lipschitz regularity of viscosity solutions of hamilton-jacobi equations

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Keywords

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