Functional Analysis, Calculus of Variations and Optimal Control
Othermajor themes include existence and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They also touch l...
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| Format: | eBook |
| Language: | English |
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London
Springer London
2013, 2013
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| Edition: | 1st ed. 2013 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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.