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

Hitoshi Ishii

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

Hitoshi Ishii^*

^*Corresponding author for this work

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

7 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 language	English
Pages (from-to)	137-154
Number of pages	18
Journal	Royal Society of Edinburgh - Proceedings A
Volume	131
Issue number	1
Publication status	Published - 2001
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

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

Abstract

ASJC Scopus subject areas

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