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

Hitoshi Ishii, Mythily Ramaswamy

Research output: Contribution to journal › Article

26 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 languageEnglish
Pages (from-to)2187-2213
Number of pages27
JournalCommunications in Partial Differential Equations
Volume20
Issue number11-12
DOIs
Publication statusPublished - 1995 Jan 1
Externally publishedYes

Fingerprint

Singular Coefficients
Hamilton-Jacobi Equation
Uniqueness
Maximal Solution
Exit Time
Comparison Result
Value Function
Optimal Control
Class

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Uniqueness results for a class of hamilton-jacobi equations with singular coefficients. / Ishii, Hitoshi; Ramaswamy, Mythily.

In: Communications in Partial Differential Equations, Vol. 20, No. 11-12, 01.01.1995, p. 2187-2213.

Research output: Contribution to journal › Article

Ishii, H & Ramaswamy, M 1995, 'Uniqueness results for a class of hamilton-jacobi equations with singular coefficients', Communications in Partial Differential Equations, vol. 20, no. 11-12, pp. 2187-2213. https://doi.org/10.1080/03605309508821168
Ishii H, Ramaswamy M. Uniqueness results for a class of hamilton-jacobi equations with singular coefficients. Communications in Partial Differential Equations. 1995 Jan 1;20(11-12):2187-2213. https://doi.org/10.1080/03605309508821168
Ishii, Hitoshi ; Ramaswamy, Mythily. / Uniqueness results for a class of hamilton-jacobi equations with singular coefficients. In: Communications in Partial Differential Equations. 1995 ; Vol. 20, No. 11-12. pp. 2187-2213.
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