ABSTRACT

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

chapter 1|4 pages

Introduction

chapter 3|2 pages

Null controllability under L constraints

chapter |1 pages

References

chapter 1|2 pages

Introduction

chapter 3|8 pages

Stochastic nonlinear equations

chapter 4|2 pages

Uniqueness

chapter 1|2 pages

Introduction

chapter 2|3 pages

The abstract setting of the problem

chapter |3 pages

References

chapter 1|1 pages

Introduction

chapter 2|1 pages

General considerations

chapter 3|2 pages

Limiting process in equation

chapter 4|2 pages

Boundary value for the limiting term

chapter 5|1 pages

Existence of extremal domains

chapter 6|1 pages

Continuity under flat cone condition

chapter |2 pages

References

chapter 1|2 pages

The Problem

chapter 2|3 pages

The Hamilton—Jacobi equation

chapter 3|5 pages

Continuity of the value function

chapter |2 pages

References

part |1 pages

Boundary Stabilization of a Nonlinear String with Aerodynamic Force

chapter 1|2 pages

Introduction

chapter 2|5 pages

Estimates for the Linear Equation

chapter 3|10 pages

Existence and Uniqueness of Solutions

chapter 1|1 pages

Introduction.

chapter 3|1 pages

Solution of the problem.

chapter 4|1 pages

Example.

chapter |1 pages

References.

chapter 1|2 pages

INTRODUCTION

chapter 4|3 pages

THE UNIQUENESS OF VISCOSITY SOLUTIONS

chapter |1 pages

REFERENCES

chapter 1|3 pages

Introduction

chapter 2|5 pages

Technical Lemmas

chapter 3|5 pages

A Priori Bounds

chapter 4|5 pages

Existence: Proof of Theorem 1.1

chapter 5|1 pages

Uniqueness: Proof of Theorem 1.2

chapter |3 pages

References

chapter 1|3 pages

Introduction and statement of the problem

chapter 2|5 pages

H-control for Pritchard-Salamon systems

chapter |4 pages

References

chapter 1|1 pages

Introduction .

chapter 3|1 pages

Outline of the proof.

chapter 4|1 pages

Gevrey class 2 functions·

chapter 1|2 pages

Introduction

chapter 3|4 pages

The class of boundary control systems

chapter |3 pages

References

chapter 1|1 pages

INTRODUCTION

chapter 2|2 pages

THE OPTIMAL CONTROL PROBLEM

chapter 3|1 pages

TROTTER PRODUCT FORMULA

chapter 4|4 pages

THE DISCRETE FEEDBACK LAW

chapter 5|4 pages

CALCULUS OF THE TROTTER APPROXIMATION

chapter 1|2 pages

Introduction

chapter 2|3 pages

Systems affine in the control

chapter 3|4 pages

Fully nonlinear systems

chapter |1 pages

References

chapter 1|1 pages

Introduction

chapter |3 pages

References

chapter 0|1 pages

Introduction

chapter 1|2 pages

Setting of the problem and state equation

chapter 2|6 pages

Riccati Equation

chapter 3|2 pages

Dynamic Programming; Finite Horizon Case

chapter 4|2 pages

Infinite Horizon Case

chapter 5|2 pages

Application to the Age Equation

chapter |3 pages

References

part |1 pages

Optimal Quadratic Boundary Control Problem for Wave- and Plate-like Equations with High Internal Damping: An Abstract Approach