n 维空间中拉夫伦特埃夫积分方程解法的唯一性

Pub Date : 2024-04-22 DOI:10.1134/s0965542524030084

M. M. Kokurin, V. V. Klyuchev, A. V. Gavrilova

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引用次数: 0

摘要

摘要我们研究了 Lavrent'ev 积分方程的多维类似方程，并将声学探测的反问题简化为该方程。确定了所研究方程具有唯一解的条件。文中还介绍了在声源和探测器位置各异的情况下解决反声学问题的数值实验结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Uniqueness of a Solution to the Lavrent’ev Integral Equation in n-Dimensional Space

Abstract

We study the multidimensional analogue of the Lavrent’ev integral equation to which an inverse problem of acoustic sounding is reduced. Conditions under which the studied equation has a unique solution are established. Results of numerical experiments concerning the solution of the inverse acoustic problem with variously located sets of sources and detectors are presented.

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