A simple, direct proof of uniqueness for solutions of the hamilton-jacobi equations of eikonal type

Hitoshi Ishii

doi:10.1090/S0002-9939-1987-0884461-3

A simple, direct proof of uniqueness for solutions of the hamilton-jacobi equations of eikonal type

Hitoshi Ishii^*

^*Corresponding author for this work

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

31 Citations (Scopus)

Abstract

We present a new, direct proof of the uniqueness theorem for a class of Hamilton-Jacobi equations including the eikonal equation in geometric optics.

Original language	English
Pages (from-to)	247-251
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	100
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1987-0884461-3
Publication status	Published - 1987
Externally published	Yes

Keywords

Comparison theorems
Eikonal equation
Hamilton-jacobi equations
Uniqueness

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1987-0884461-3

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title = "A simple, direct proof of uniqueness for solutions of the hamilton-jacobi equations of eikonal type",

abstract = "We present a new, direct proof of the uniqueness theorem for a class of Hamilton-Jacobi equations including the eikonal equation in geometric optics.",

keywords = "Comparison theorems, Eikonal equation, Hamilton-jacobi equations, Uniqueness",

author = "Hitoshi Ishii",

year = "1987",

doi = "10.1090/S0002-9939-1987-0884461-3",

language = "English",

volume = "100",

pages = "247--251",

journal = "Proceedings of the American Mathematical Society",

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AU - Ishii, Hitoshi

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KW - Comparison theorems

KW - Eikonal equation

KW - Hamilton-jacobi equations

KW - Uniqueness

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A simple, direct proof of uniqueness for solutions of the hamilton-jacobi equations of eikonal type

Abstract

Keywords

ASJC Scopus subject areas

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