Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations: 40 (Inverse and Ill-Posed Problems Series, 40) - Hardcover

Megrabov, Alexander G.

Hardcover

ISBN 10: 9067643793 ISBN 13: 9789067643795

Publisher: VSP International Science Publishers, 2003

Synopsis

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.

About this title

About the Author

Alexander G. Megrabov, Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia.

Edition details

• Publisher: VSP International Science Publishers
• Publication date: 2003
• Language: English
• ISBN 10: 9067643793
• ISBN 13: 9789067643795
• Binding: Hardcover
• Number of pages: 237