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Generalized Characteristics of First Order PDEs : Applications in Optimal Control and Differential Games

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Cover of 'Generalized Characteristics of First Order PDEs : Applications in Optimal Control and Differential Games'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Method of Characteristics in Smooth Problems
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    Chapter 3 Generalized Solutions and Singular Characteristics of First Order PDEs
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    Chapter 4 First Order PDEs in Variation Calculus, Optimal Control and Differential Games
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    Chapter 5 Differential Games with Simple Motions on the Manifolds
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    Chapter 6 Games of Simple Pursuit and Approach on Two-Dimensional Cone
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    Chapter 7 Smooth Solutions of a PDE with Nonsmooth Hamiltonian
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    Chapter 8 Shock Waves Related to First Order PDEs
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    Chapter 9 Singular Surfaces of Nonsmooth Solutions to Multiple Integral Variational Problems
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    Chapter 10 Appendix
Attention for Chapter 10: Appendix
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