Inverse Problems of Wave Processes
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 atte...
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| Main Author | |
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| Format | eBook |
| Language | English |
| Published |
Germany
De Gruyter
2014
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| Edition | Reprint 2014 |
| Series | Inverse and Ill-Posed Problems Series |
| Subjects | |
| Online Access | Get full text |
| ISBN | 9783110940893 3110940892 9067643440 9789067643443 |
| DOI | 10.1515/9783110940893 |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Blagoveshchenskii, A. S |
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| Edition | Reprint 2014 Reprint 2014 edition. |
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| Keywords | 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 |
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| PublicationDate | 2014 [2014] 2014-07-24 |
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| Snippet | 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... 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... |
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| SubjectTerms | 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 |
| TableOfContents | Contents -- Chapter 1. One-dimensional inverse problems -- Chapter 2. Theory of inverse problems for wave processes in layered media -- Frontmatter -- Chapter 3. Inverse problems for vector wave processes -- Introduction -- Bibliography |
| Title | Inverse Problems of Wave Processes |
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