### 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 |
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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 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics