Based on the Working Conference on Boundary Control and Boundary Variation held in Sophia-Antipolis, France, this work provides important examinations of shape optimization and boundary control of hyperbolic systems, including free boundary problems and stabilization. It offers a new approach to large and nonlinear variation of the boundary using global Eulerian co-ordinates and intrinsic geometry.
Preface
Contributors
Boundary Control for Non-Autonomous Parabolic Equations in Non Cylindrical Domains
Paolo Acquistapace
The Cauchy Problem for the Dynamic Programming Equation of Boundary Control
Piermarco Cannarsa and Maria Elisabetta Tessitore
Boundary Element Method for Shape (Domain) Optimization of Linear-Quadratic Elliptic Boundary Control Problems
Goong Chen, Jianxin Zhou, and Robert C. McLean
Hydroelastic Behavior of an Inextensible Membrane
Nathalie Clariond and Jean-Paul Zolésio
Stabilization of Second Order Evolution Equation by Unbounded Nonlinear Feedback
Francis Conrad and Michel Pierre
Functional Analytic Methods in Shape Optimization
Michel Delfour and Jean-Paul Zolésio
Sensitivity Analysis of al Eigenvalues of a Symmetrical Elliptic Operator
Fabrice Desaint and Jean-Paul Zolésio
Lagrangian Multipliers in Shape Optimization Under Constraints
Luc Doyen
On Exact Controllability of the Wave Equation with a Lower Order Term
A. Eljendy and Timo Tiihonen
On a filtration Problem with Flow-Induced Displacement of Fine Particles
Antonio Fasano, M. Primicerio and A. Watts
On a Class of Approximation Schemes for Linear Boundary Control Problems
Roberto Ferretti
Some Remarks of the Axisymmetric Equilibria of a Thin Shallow Spherical Cap
Giuseppe Geymonat and Alain Léger
Shape Optimization of Elasto-Plastic Bodies Governed by Variational Inequalities
Michal Kočvara and Jiří V. Outrata
Asymptotic Behavior and the Existence of Finite Dimensional Attractors for Von Kármán Plate Equation with Boundary Damping
Irena Lasiecka
Min-Max Game Theory and Algebraic Riccati Equations for Boundary Control Problems with Analytic Semigroups. Part II: The General Case
Christine McMillan and Roberto Triggiani
Modelling and Analysis of a Problem of Combustion of a Spray of Droplets
L. Pouly and Jérôme Gabriel Pousin
Recent Progress in Non-Uniform and Uniform Stabilization of the SCOLE Model with Boundary Feedbacks
Bopeng Rao
Nonsmooth Analysis and Free Boundary Problems
Srdjan Stojanovic
On a Mean Square Stabilization of a Linear Stochastic Differential Equation
Gianmario Tessitore
Biography
Jean-Paul Zolesio