Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations

Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations pdf epub mobi txt 電子書 下載2025

出版者:
作者:Megrabov, Alexander G.
出品人:
頁數:230
译者:
出版時間:
價格:$ 384.77
裝幀:
isbn號碼:9789067643795
叢書系列:
圖書標籤:
  • 偏微分方程
  • 反問題
  • 正問題
  • 雙麯型方程
  • 橢圓型方程
  • 混閤型方程
  • 數值分析
  • 數學物理
  • 泛函分析
  • PDE
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具體描述

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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