Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective

Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective

by Andrei I. Subbotin

Paperback(Softcover reprint of the original 1st ed. 1995)

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Overview

In this book, the authors present another approach that can be considered as a non-classical method of characteristics, according to which the generalized solution ( called the minimax solution ) is assumed to be weak invariant with respect to the so-called characteristic inclusions.

Product Details

ISBN-13: 9781461269205
Publisher: Birkh�user Boston
Publication date: 06/11/2013
Series: Systems & Control: Foundations & Applications
Edition description: Softcover reprint of the original 1st ed. 1995
Pages: 314
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

I Generalized Characteristics of First-Order PDE’s.- II Cauchy Problems for Hamilton-Jacobi Equations.- III Differential Games.- IV Boundary-Value Problems for First-Order PDE’s.- A1 Justification of the Classical Method of Characteristics.- A2 Multifunctions.- A3 Semicontinuous Functions.- A4 Convex Functions.- A5 Contingent Tangent Cones, Directional Derivatives, Subdifferentials.- A6 On a Property of Subdifferentials.- A7 Differential Inclusions.- A8 Criteria for Weak Invariance.

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