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Investigation methods for inverse problems

Author: V G Romanov
Publisher: Utrecht ; Boston : VSP, 2002.
Series: Inverse and ill-posed problems series.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

This work deals with inverse problems of mathematical physics. It introduces some new methods for studying inverse problems and gives obtained results, which are related to the conditional well  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V G Romanov
ISBN: 9067643610 9789067643610
OCLC Number: 50053010
Description: xii, 280 pages ; 25 cm.
Contents: 1. Introduction --
1.1. One-dimensional inverse kinematics problem --
1.2. Inverse dynamical problem for a string --
1.3. Inverse problems for a layered medium --
2. Ray statements of inverse problems --
2.1. Posing of the inverse problems --
2.2. Asymptotic expansion --
2.3. Uniqueness theorems for the inverse problem --
2.4. Inverse problems related to a local heterogeneity --
3. Local solvability of some inverse problems --
3.1. Banach's spaces of analytic functions --
3.2. Determining coefficients of the lower terms --
3.3. Determining the speed of the sound --
3.4. A regularization method for solving an inverse problem --
4. Inverse problems with single measurements --
4.1. Determining coefficient of the lowest term --
4.2. Determining coefficients under first derivatives --
4.3. Determining the speed of sound in the wave equation --
4.4. Case of a point source --
5. Stability estimates related to inverse problems for the transport equation --
5.1. The problem of determining the relaxation and a density of inner sources --
5.2. A stability estimate in the problem of determining the dispersion index and relaxation in 2D --
5.3. The problem of determining the dispersion index and relaxation in 3D.
Series Title: Inverse and ill-posed problems series.
Responsibility: V.G. Romanov.
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