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

Hitoshi Ishii

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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
Issue number1
Publication statusPublished - 2001
Externally publishedYes


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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