热方程反问题的矩量法

Inverse problems and related topics Pub Date : 1900-01-01 DOI:10.1201/9780429187841-6

M. Kawashita, Y. Kurylev, H. Soga

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摘要

本文研究有界区域内热方程的反问题。研究了调和多项式积集上的双线性形式的唯一性和重构。这种形式由狄利克雷-诺伊曼映射R表示，它是观测数据。

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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A Moment Method on Inverse Problems for the Heat Equation

In this paper we consider an inverse problem for the heat equation in a bounded domain. The uniqueness and reconstruction are studied in terms of some bilinear form on a product set of harmonic polynomials. This form is represented by the Dirichlet-Neumann map R which is the observation data.

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Inverse problems and related topics

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