Control of Partial Differential Equations. (1994)

• Record Type: Book
• Further Information: Note: Editors, Giuseppe Da Prato, Luciano Tubaro.
• Editors: Da Prato, Giuseppe; Tubaro, Luciano
• Contents: Cover; Half Title; Title Page; Copyright Page; Preface; Contents; Contributors; Null Controllability for a Class of Implicit Differential Equations in Banach Spaces; 1. Introduction; 2. Null controllability under constraints (1.10); 3. Null controllability under L constraints; References; Results on Stochastic Navier-Stokes Equations; 1 Introduction; 2 Review of deterministic results; 2.1 Deterministic nonlinear equations; 2.2 Alternative framework; 2.3 Navier-Stokesequations; 2.4 Compactness results; 3 Stochastic nonlinear equations; 3.1 Probabilistic background 3.2 Setting of the problem and main result3.3 Proof of Theorem 3.1; 4 Uniqueness; References; A Hyperbolic Problem with Boundary Control: A Solution through Parabolic Regularization; 1 Introduction; 2 The abstract setting of the problem; 3 Parabolic regularization and approximation; References; Flat Cone Condition and Shape Analysis; 1 Introduction; 2 General considerations; 3 Limiting process in equation; 4 Boundary value for the limiting term; 5 Existence of extremal domains; 6 Continuity under flat cone condition; 7 Existence result for minimisation under constraint 8 Existence of optimal domain for a heat conduction problem with constraint on the power fluxReferences; Dynamic Programming for an Abstract Second Order Evolution Equation with Convex State Constraints; 1 The Problem; 2 The Hamilton-Jacobi equation; 3 Continuity of the value function; References; Boundary Stabilization of a Nonlinear String with Aerodynamic Force; 1 Introduction; 2 Estimates for the Linear Equation; 3 Existence and Uniqueness of Solutions; REFERENCES; Existence of Optimal Controls for Stochastic Evolution Systems; 1. Introduction. 2· Preliminaries and setting of the problem.3. Solution of the problem.; 4. Example.; References.; An Approximation Scheme for the Variational Solutions of the Hamilton-Jacobi Equation of Control Theory; 1. INTRODUCTION; 2. THE DISCRETE PROBLEM AND THE DISCRETE DYNAMIC PROGRAMMING PRINCIPLE; 3. THE CONVERGENCE OF THE APPROXIMATION SCHEME; 4. THE UNIQUENESS OF VISCOSITY SOLUTIONS; REFERENCES; Global Existence and Uniqueness of Regular Solutions to the Dynamic von Karman System with Nonlinear Boundary Dissipation; 1 Introduction; 1 .1 Statement of the Problem; 2 Technical Lemmas 3 A Priori Bounds4 Existence: Proof of Theorem 1.1; 5 Uniqueness: Proof of Theorem 1.2; References; A State-Space Approach to the Mixed-Sensitivity Minimization Problem for Delay Systems; 1 Introduction and statement of the problem; 2 H-control for Pritchard-Salamon systems; 3 The mixed-sensitivity problem for delay systems; References; The Role of Smoothing in Boundary Control; 1. Introduction .; 2. Null boundary control for semilinear heat equations (with Y-J Guo).; 3. Outline of the proof.; 4. Gevrey class 2 functions·; 5. Boundary control o f a finite pinned beam (joint with S. Taylor).
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 1994
• Extent: 1 online resource
• Subjects: 515/.353; Differential equations; Differential equations; Electronic books
• Languages: English
• ISBNs: 9781482277654; 1482277654
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.