Abstract

The problem of optimal recovery of the solution of the heat equation on a manifold at a given instant of time from inaccurate measurements of this solution at other instants of time is considered, the manifold being the product of the real line and a circle. A family of optimal recovery methods is constructed.

中文翻译：

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从不正确的测量中最佳恢复管道温度

摘要

考虑到在给定的时间点上歧管上的热方程解的最优恢复问题，是由于该解在其他时间点的不准确测量而产生的，该歧管是实线和圆的乘积。构建了一系列最佳恢复方法。