A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity solutions

Hitoshi Ishii

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We extend and clarify some of observations due to Barron and Jensen concerning the relation between subdifferentials and superdifferentials of a function and extend the comparison principle for semicontinuous solutions of Hamilton-Jacobi equations with convex Hamiltonians to that in infinite-dimensional Hilbert spaces.

Original languageEnglish
Pages (from-to)137-154
Number of pages18
JournalRoyal Society of Edinburgh - Proceedings A
Volume131
Issue number1
Publication statusPublished - 2001
Externally publishedYes

Fingerprint

Hamiltonians
Lower Semicontinuous
Comparison Principle
Subdifferential
Hilbert spaces
Hamilton-Jacobi Equation
Viscosity Solutions
Comparison Theorem
Hilbert space
Viscosity
Theorem
Observation
Generalization

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity solutions. / Ishii, Hitoshi.

In: Royal Society of Edinburgh - Proceedings A, Vol. 131, No. 1, 2001, p. 137-154.

Research output: Contribution to journalArticle

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