Forward and inverse problems for hyperbolic, elliptic, and mixed type equations

Author(s)

• Megrabov, A. G.

Bibliographic Information

Forward and inverse problems for hyperbolic, elliptic, and mixed type equations

A.G. Megrabov

（Inverse and ill-posed problems series）

VSP, 2003

Note

Includes bibliographical references (p. [221]-230)

Description and Table of Contents

Description

Inverse problems are an important and rapidly developing direction in mathematics,mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monographdirect and inverse problems for partial differential equations are considered. The type of equations focusedare hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination ofmedium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of researchof all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined.

Table of Contents

Introduction Inverse problems for semibounded string with the directional derivative condition given in the end Inverse problems for the elliptic equation in the half-plane Inverse problems of scattering plane waves from inhomogeneous transition layers (half-space) Inverse problems for finite string with the condition of directional derivative in one end Inverse problems for the elliptic equation in the strip Inverse problems of scattering the plane waves from inhomogeneous layers with a free or fixed boundary Direct and inverse problems for the equations of mixed type Inverse problems connected with determination of arbitrary set of point sources Bibliography

by "Nielsen BookData"

Details

• NCID: BA62175845
• ISBN:
  • 9067643793
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Utrecht
• Pages/Volumes: vii, 230 p.
• Size: 25 cm
• Parent Bibliography ID:
  • BA2420606X