Semiconcave Functions

Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 58)

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.

Keywords

Concave Function Jacobi Equation Harnack Inequality Converse Implication Local Lipschitz Continuity 
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Copyright information

© Birkhäuser Boston 2004

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