An Introduction to Identification Problems via Functional Analysis

Alfredo Lorenzi

Published by De Gruyter 2001

An Introduction to Identification Problems via Functional Analysis

Alfredo Lorenzi

Volume 26 in the series Inverse and Ill-Posed Problems Series

https://doi.org/10.1515/9783110940923

Overview
Contents

About this book

this monograph is based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students. The text focuses on an aspect of the theory of inverse problems, which is usually referred to as identification of parameters (numbers, vectors, matrices, functions) appearing in differential – or integrodifferential – equations. The parameters of such equations are either quite unknown or partially unknown, however knowledge about these is usually essential as they describe the intrinsic properties of the material or substance under consideration.

Author / Editor information

Alfreod Lorenzi, Università degli studi di Milano, Italy.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Requires Authentication Unlicensed Licensed Download PDF	VII
Contents Publicly Available Download PDF	XI
Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 1. Parameter Identification In Linear Ordinary Differential Equations Requires Authentication Unlicensed Licensed Download PDF	5
Chapter 2. Identification Problems In Hilbert Spaces Requires Authentication Unlicensed Licensed Download PDF	33
Chapter 3. Proper Riemann Integrals For Banach-Valued Functions. Curvilinear Integrals And Banach-Valued Holomorphic Functions Requires Authentication Unlicensed Licensed Download PDF	57
Chapter 4. Riemann-Stieltj Es Integrals Of Banach-Valued Functions Requires Authentication Unlicensed Licensed Download PDF	67
Chapter 5. Improper Riemann Integrals For Banach Space-Valued Functions Requires Authentication Unlicensed Licensed Download PDF	83
Chapter 6. Banach Algebras And Spectral Analysis For Linear Bounded Operators Requires Authentication Unlicensed Licensed Download PDF	91
Chapter 7. Identifying Parameters In First-Order Partial Differential Equations Requires Authentication Unlicensed Licensed Download PDF	103
Chapter 8. Identification Problems Relative To Linear Bounded Operators I Requires Authentication Unlicensed Licensed Download PDF	113
Chapter 9. Identification Problems Relative To Linear Bounded Operators Ii Requires Authentication Unlicensed Licensed Download PDF	139
Chapter 10. Analysis Of The Continuous Dependence On The Data Requires Authentication Unlicensed Licensed Download PDF	149
Chapter 11. Linear Closed Operators And Analytic Semigroups Of Linear Bounded Operators Requires Authentication Unlicensed Licensed Download PDF	161
Chapter 12. Cauchy Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications Requires Authentication Unlicensed Licensed Download PDF	181
Chapter 13. Identification Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications Requires Authentication Unlicensed Licensed Download PDF	209
Bibliography Requires Authentication Unlicensed Licensed Download PDF	233
List of Symbols Requires Authentication Unlicensed Licensed Download PDF	237

(Deutsch)

Language: English
Publisher: De Gruyter
Edition: Reprint 2014
Audience: Students, Researchers, and Lecturers in Mathematics; Academic Libraries
Pages
- Front matter: 10
- Main content: 240
Illustrations
- Illustrations: 2
Keywords: Inverse Problems; Identification of Parameters; Differential Equations; Integrodifferential Equations; Functional Analysis

eBook

Published: July 24, 2014
ISBN: 9783110940923

Hardcover

Published: May 9, 2001
ISBN: 9783110364118