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

Autor Alexander G. Megrabov
en Limba Engleză Hardback – 23 iun 2003
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.
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Specificații

ISBN-13: 9789067643795
ISBN-10: 9067643793
Pagini: 237
Ilustrații: Num. figs.
Dimensiuni: 170 x 240 x 19 mm
Greutate: 0.59 kg
Ediția:Reprint 2012
Editura: De Gruyter
Colecția De Gruyter
Seria Inverse and Ill-Posed Problems Series

Locul publicării:Berlin/Boston

Notă biografică

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