Functional Analysis Calculus of Variations and Optimal Control

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. . Language: English