Generalized solutions of first order PDEs : the dynamical optimization perspective /

Bibliographic Details
Main Author:	Subbotin, A. I. (Andreĭ Izmaĭlovich)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Boston, MA : Springer, 1995.
Series:	Systems & control.
Subjects:	Differential equations, Partial > Numerical solutions. Partial Differential Equations. Calculus of Variations and Optimal Control; Optimization. Optimization. Systems Theory, Control. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

I. Generalized Characteristics of First-Order PDE's. 1. The Classical Method of Characteristics. 2. Characteristic Inclusions. 3. Upper and Lower Semicontinuous Solutions. 4. Criteria of Weak Invariance for Minimax Solutions. 5. Piecewise Smooth Solutions
II. Cauchy Problems for Hamilton-Jacobi Equations. 6. Minimax Solutions of Hamilton-Jacobi Equations. 7. Uniqueness of Minimax Solution of Cauchy Problem for Hamilton-Jacobi Equation. 8. Existence of Minimax Solution of Cauchy Problem for Hamilton-Jacobi Equation. 9. Uniqueness under Weakened Assumptions. 10. Constructive and Numerical Methods
III. Differential Games. 11. Basic Notions of the Theory of Differential Games. 12. Proof of Existence of Value Function of Differential Game. 13. Stable Bridges and Extremal Strategies. 14. Some Remarks. 15. Mixed Feedback Strategies and Counter-Strategies. 16. Constructive and Numerical Methods of the Theory of Differential Games.