Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations 在线电子书 图书标签:
发表于2024-11-09
Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
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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Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024