A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity solutions
Published online by Cambridge University Press: 11 July 2007
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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 1 , February 2001 , pp. 137 - 154
- Copyright
- Copyright © Royal Society of Edinburgh 2001
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