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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A simple, direct proof of uniqueness for solutions of the Hamilton-Jacobi equations of eikonal type


Author: Hitoshi Ishii
Journal: Proc. Amer. Math. Soc. 100 (1987), 247-251
MSC: Primary 35F30
MathSciNet review: 884461
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0884461-3
PII: S 0002-9939(1987)0884461-3
Keywords: Hamilton-Jacobi equations, uniqueness, comparison theorems, eikonal equation
Article copyright: © Copyright 1987 American Mathematical Society