Boundary Control and Variation. (1994)

• Record Type: Book
• Further Information: Note: Jean-Paul Zolesio.
• Authors: Zolesio, Jean-Paul
• Contents: Cover; Half Title; Title Page; Copyright Page; Preface; Contents; Contributors; 1. Boundary Control for Non-Autonomous Parabolic Equations in Non-Cylindrical Domains; 0. The problem; 1. The change of variable; 2. The abstract formulation; 3. The finite cost condition; 4. Further properties; 5. An example; REFERENCES; 2. Cauchy Problem for the Dynamic Programming Equation of Boundary Control; 1 Introduction; 2 Preliminaries; 3 Viscosity solution and uniqueness result; 4 Properties of the value function V and existence result; References 3. Boundary Element Method for Shape (Domain) Optimization of Linear-Quadratic Elliptic Boundary Control ProblemsABSTRACT; I. Introduction; II. Solving the linear-quadratic problem on a fixed domain by boundary integrale quations; III. Taking the shape derivative; IV . Error estimates for piecewise constant boundary elements in R2; V . Numerical examples; Example 5.2; Appendix; References; 4. Hydroelastic Behavior of an Inextensible Membrane; 1: INTRODUCTION; 2: ANALYTICAL METHOD; 3: Galerkin Approximation; 4: The strong formulation; 5: The membrane is inextensible; 6: L∞ estimates 7: Modal AnalysisREFERENCES; 5. Stabilization of Second Order Evolution Equations by Unbounded Nonlinear Feedback; Abstract; 1. Introduction; 2. Abstract framework; 3. Strong asymptotic stability; 4. Examples; 4.1. Euler-Bernoulli beam equation (boundary control); 4.2. Wave equation (boundary control); 4.3. Wave equation (interior control on ""thin" sets); 4.4. Rectangular Kirchhoff plates (interior control on ''thin" sets); REFERENCES; 6. Functional Analytic Methods in Shape Analysis; 1. Introduction; 2. Characteristic functions in Lp spaces and measurable domains 3. Distance functions and associated to pologies3.1. The set of distance functions in C(D); 3.2. Projection operators and differentiability of dA; 3.3. Characterization of convex sets; 3.4. V l, p-topology for distance functions and relation with characteristic functions; 4. Support function; 5. Oriented distance functions and geometry of domains; 5.1. Basic properties; 5.2. Oriented boundary distance functions in C(D) and W 1, P(D); 5.3. Characterization of convex sets; 5.4. Characterization of the smoothness of the boundary ∂A; 5.5. Mean curvature of the boundary; References
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 1994
• Extent: 1 online resource
• Subjects: 515/.64; Differential equations; Differential equations; Electronic books
• Languages: English
• ISBNs: 9781482277685; 1482277689
• 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.