A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasoni
Inverse Problems for Partial Differential Equations (Inverse & ill-posed problems series)
β Scribed by Yurii Ya. Belov
- Publisher
- De Gruyter
- Year
- 2002
- Tongue
- English
- Leaves
- 220
- Series
- Inverse and Ill-Posed Problems Series; 32
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Preface
Contents
Chapter 1. Auxiliary information from functional analysis and theory of differential equations
Chapter 2. The weak approximation method
Chapter 3. Identification problems for parabolic equations with Cauchy data
Chapter 4. The identification of the source function for a system of composite type and parabolic equation. The behavior of the problemβs solution under t β> + β
Chapter 5. The problem of determining the coefficient in a parabolic equation and some properties of its solution
Chapter 6. Two unknown coefficients of a parabolic type equation
Chapter 7. Some inverse boundary value problems
Bibliography
π SIMILAR VOLUMES
<p><P>The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and tec
<p>This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The proble
A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasoni