Control of Partial Differential Equations /

"This useful reference provides recent results as well as entirely new material on control problems for partial differential equations."--Provided by publisher.

Bibliographic Details
Corporate Author:	Taylor & Francis
Other Authors:	Da Prato, Giuseppe (Editor), Tubaro, Luciano (Editor)
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, 1994.
Edition:	First edition.
Series:	Lecture Notes in Pure and Applied Mathematics
Subjects:	Differential Equations Differential equations. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

chapter 1 Introduction
chapter 2 Null controllability under constraints (1.10)
chapter 3 Null controllability under L constraints
chapter References
chapter 1 Introduction
chapter 3 Stochastic nonlinear equations
chapter 4 Uniqueness
chapter 1 Introduction
chapter 2 The abstract setting of the problem
chapter 3 Parabolic regularization and approximation
chapter References
chapter 1 Introduction
chapter 2 General considerations
chapter 3 Limiting process in equation
chapter 4 Boundary value for the limiting term
chapter 5 Existence of extremal domains
chapter 6 Continuity under flat cone condition
chapter 7 Existence result for minimisation under constraint
chapter 8 Existence of optimal domain for a heat conduction problem with constraint on the power flux
chapter References
chapter 1 The Problem
chapter 2 The Hamilton-Jacobi equation
chapter 3 Continuity of the value function
chapter References
part Boundary Stabilization of a Nonlinear String with Aerodynamic Force
chapter 1 Introduction
chapter 2 Estimates for the Linear Equation
chapter 3 Existence and Uniqueness of Solutions
chapter 1 Introduction.
chapter 2 · Preliminaries and setting of the problem.
chapter 3 Solution of the problem.
chapter 4 Example.
chapter References.
chapter 1 INTRODUCTION
chapter 2 THE DISCRETE PROBLEM AND THE DISCRETE DYNAMIC PROGRAMMING PRINCIPLE
chapter 3 THE CONVERGENCE OF THE APPROXIMATION SCHEME
chapter 4 THE UNIQUENESS OF VISCOSITY SOLUTIONS
chapter REFERENCES
chapter 1 Introduction
chapter 2 Technical Lemmas
chapter 3 A Priori Bounds
chapter 4 Existence: Proof of Theorem 1.1
chapter 5 Uniqueness: Proof of Theorem 1.2
chapter References
chapter 1 Introduction and statement of the problem
chapter 2 H-control for Pritchard-Salamon systems
chapter 3 The mixed-sensitivity problem for delay systems
chapter References
chapter 1 Introduction.
chapter 2 Null boundary control for semilinear heat equations (with Y-J Guo).
chapter 3 Outline of the proof.
chapter 4 Gevrey class 2 functions·
chapter 5 Boundary control ofa finite pinned beam (joint with S. Taylor).
chapter Exact Controllability of the Wave Equation in a Polygonal Domain with Cracks
chapter 1 Introduction
chapter 2 Preliminaries on the singular regulator problem
chapter 3 The class of boundary control systems
chapter 4 Solution of the boundary regulator problem
chapter References
chapter 1 INTRODUCTION
chapter 2 THE OPTIMAL CONTROL PROBLEM
chapter 3 TROTTER PRODUCT FORMULA
chapter 4 THE DISCRETE FEEDBACK LAW
chapter 5 CALCULUS OF THE TROTTER APPROXIMATION
chapter 1 Introduction
chapter 2 Systems affine in the control
chapter 3 Fully nonlinear systems
chapter References
chapter 1 Introduction
chapter 2 Boundary Control With Pointwise Constraints
chapter References
chapter 0 Introduction
chapter 1 Setting of the problem and state equation
chapter 2 Riccati Equation
chapter 3 Dynamic Programming; Finite Horizon Case
chapter 4 Infinite Horizon Case
chapter 5 Application to the Age Equation
chapter References
part Optimal Quadratic Boundary Control Problem for Wave- and Plate-like Equations with High Internal Damping: An Abstract Approach
chapter 1 Introduction; parametrized mathematical model;statement of main results
chapter 2 Optimality conditions; regularity of optimal pair
chapter 3 A direct approach to the variational problem
chapter 4 Applications: Boundary control problems for wave- and plate-like equations with strong internal damping
chapter References
chapter A Appendix
chapter B Appendix
chapter Approximation for the Wave Equation in a Moving Domain.