E-book

Functional Analysis, Calculus of Variations and Optimal Control [electronic resource] / by Francis Clarke.

Record details

ISBN: 9781447148203
Physical Description: XIV, 591 p. 16 illus., 8 illus. in color. online resource.
Publisher: London : Springer London : 2013.

Subject:

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Table of Contents

	Normed Spaces
	Convex sets and functions
	Weak topologies
	Convex analysis
	Banach spaces
	Lebesgue spaces
	Hilbert spaces
	Additional exercises for Part I
	Optimization and multipliers
	Generalized gradients
	Proximal analysis
	Invariance and monotonicity
	Additional exercises for Part II
	The classical theory
	Nonsmooth extremals
	Absolutely continuous solutions
	The multiplier rule
	Nonsmooth Lagrangians
	Hamilton-Jacobi methods
	Additional exercises for Part III
	Multiple integrals
	Necessary conditions
	Existence and regularity
	Inductive methods
	Differential inclusions
	Additional exercises for Part IV.