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A Model Problem

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

Abstract

The purpose of this chapter is to outline some of the main topics of the book through the analysis of a simple problem in the calculus of variations. The study of this model problem allows us to introduce the dynamic programming approach and to show how the class of semiconcave functions naturally appears in this context.

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© 2004 Birkhäuser Boston

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(2004). A Model Problem. 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_1

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  • DOI: https://doi.org/10.1007/0-8176-4413-X_1

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4336-2

  • Online ISBN: 978-0-8176-4413-0

  • eBook Packages: Springer Book Archive

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