Inverse Problems of Wave Processes

• Main Author: Blagoveshchenskii, A. S
• Format: eBook
• Language: English
• Published: Germany De Gruyter 2014
• Edition: Reprint 2014
• Series: Inverse and Ill-Posed Problems Series
• Subjects: Acoustic Equations; Coefficients; Determination; Dynamical Inverse Problems; Elasticity Equations; Functions of Point; Hyperbolic Equations; Inverses Problem; MATHEMATICS; Mathematics. Analysis; MATHEMATICS / Differential Equations / General; One-dimensional Inverse Problems; Scalar Inverse Problems; Wave Fields; Wave Propagation; Wave-motion, Theory of; Welle; Wellenausbreitung; Wellengleichung; Wave Fields; Acoustic Equations; Scalar Inverse Problems; One-dimensional Inverse Problems; Dynamical Inverse Problems; Functions of Point; Hyperbolic Equations; Wave Propagation; Determination; Coefficients; Elasticity Equations
• ISBN: 9783110940893; 3110940892; 9067643440; 9789067643443
• DOI: 10.1515/9783110940893

This monograph covers dynamical inverse problems, that is problems whose data are the values of wave fields. It deals with the problem of determination of one or more coefficients of a hyperbolic equation or a system of hyperbolic equations. The desired coefficients are functions of point. Most attention is given to the case where the required functions depend only on one coordinate. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium. In the final chapter inverse problems for elasticity equations in stratified media and acoustic equations for moving media are given.