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• W2079690068 abstract "In Gâteaux or bornologically differentiable spaces there are two natural generalizations of the concept of a Frechet subderivative. In this paper we study the viscosity subderivative (which is the more robust of the two) and establish refined fuzzy sum rules for it in a smooth Banach space. These rules are applied to obtain comparison results for viscosity solutions of Hamilton--Jacobi equations in smooth spaces. A unified treatment of metric regularity in smooth spaces completes the paper. This illustrates the flexibility of viscosity subderivatives as a tool for analysis." @default.
• W2079690068 created "2016-06-24" @default.
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• W2079690068 date "1996-09-01" @default.
• W2079690068 modified "2023-09-23" @default.
• W2079690068 title "Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity" @default.
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• W2079690068 doi "https://doi.org/10.1137/s0363012994268801" @default.
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