Control of Partial Differential Equations: Lecture Notes in Pure and Applied Mathematics

Null Controllability for a Class of Implicit Differential Equations in Banach Spaces; Results on Stochastic Navier-Stokes Equations; A Hyperbolic Problem with Boundary Control: A Solution Through Parabolic Regularization; Flat Cone Condition and Shape Analysis; Dynamic Programming for an Abstract Second Order Evolution Equation with Convex State Constraints; Boundary Stabilization of a Nonlinear String with Aerodynamic Force; Existence of Optimal Controls for Stochastic Evolution Systems; An Approximation Scheme for the Variational Solutions of the Hamilton-Jacobi Equation of Control Theory; Global Existence and Uniqueness of Regular Solutions to the Dynamic von Karman System with Nonlinear Boundary Dissipation; A State-Space Approach to the Mixed-Sensitivity Minimization Problem for Delay Systems; The Role of Smoothing in Boundary Control; Exact Controllability of Wave Equation in a Polygonal Domain with Cracks; From Singular to Regular Control Problems; Feedback Laws via a Trotter Product Formula Treatment of the Dynamic Programming Equation; Existence of Optimal Controls for Some Nonlinear Systems; Control Problems for Shape Memory Alloys with Constraints on the Shear Strain; Linear Quadratic Boundary Control for an Age Equation Perturbed by Noise; Optimal Quadratic Boundary Control Problem for Wave- and Plate-Like Equations with High lnternal Damping: An Abstract Approach; Approximation for Wave Equation in Moving Domain.

Giuseppe Da Prato, Luciano Tubaro

This useful reference provides recent results as well as entirely new material on control problems for partial differential equations.