Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations: 40 - Brossura

Megrabov, Alexander G.

Brossura

ISBN 10: 3111826155 ISBN 13: 9783111826158

Casa editrice: Walter de Gruyter & Co, 2003

Riassunto

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.

Dettagli dell'edizione

• Editore: Walter de Gruyter & Co
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 3111826155
• ISBN 13: 9783111826158
• Rilegatura: Copertina flessibile
• Numero di pagine: 237
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile