Abstract
This chapter and the following two are devoted to the general properties of semiconcave functions. We begin here by studying the direct consequences of the definition and some basic examples, while the next chapters deal with generalized differentials and singularities. At this stage we study semiconcave functions without referring to specific applications; later in the book we show how the results obtained here can be applied to Hamilton–Jacobi equations and optimization problems.
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© 2004 Birkhäuser Boston
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(2004). Semiconcave Functions. In: Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control. Progress in Nonlinear Differential Equations and Their Applications, vol 58. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4413-X_2
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DOI: https://doi.org/10.1007/0-8176-4413-X_2
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4336-2
Online ISBN: 978-0-8176-4413-0
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