Uniqueness results for a class of hamilton-jacobi equations with singular coefficients

Hitoshi Ishii; Mythily Ramaswamy

doi:10.1080/03605309508821168

Uniqueness results for a class of hamilton-jacobi equations with singular coefficients

Hitoshi Ishii, Mythily Ramaswamy

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

28 Citations (Scopus)

Abstract

We establish uniqueness or comparison results for a class of Hamilton-Jacobi equations and give characterizations of maximal solutions of Hamilton-Jacobi equations. The results are applied to characterizing value functions of exit time problems in optimal control.

Original language	English
Pages (from-to)	2187-2213
Number of pages	27
Journal	Communications in Partial Differential Equations
Volume	20
Issue number	11-12
DOIs	https://doi.org/10.1080/03605309508821168
Publication status	Published - 1995 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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abstract = "We establish uniqueness or comparison results for a class of Hamilton-Jacobi equations and give characterizations of maximal solutions of Hamilton-Jacobi equations. The results are applied to characterizing value functions of exit time problems in optimal control.",

author = "Hitoshi Ishii and Mythily Ramaswamy",

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AU - Ramaswamy, Mythily

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