典型文献
Data Recovery from Cauchy Measurements in Transient Heat Transfer
文献摘要：
We study the ill-posedness degree of the reconstruction processes of miss-ing boundary data or initial states in the transient heat conduction.Both problems are severely ill-posed.This is a powerful indicator about the way the instabilities will af-fect the computations in the numerical recovery methods.We provide rigorous proofs of this result where the conductivites are space dependent.The theoretical work is concerned with the unsteady heat equation in one dimension even though most of the results obtained here are readily extended to higher dimensions.
文献关键词：
中图分类号：
作者姓名：
Thouraya Baranger Nouri;Faker Ben Belgacem
作者机构：
Université de Lyon,Université Lyon 1,LMC2,EA 7427,F69622 Villeurbanne Cedex,France;Université de Technologie de Compiègne,LMAC,EA 2222,BP 20529,60205 Compiègne cedex,France
文献出处：
引用格式：
[1]Thouraya Baranger Nouri;Faker Ben Belgacem-.Data Recovery from Cauchy Measurements in Transient Heat Transfer)[J].数学研究（英文）,2022(01):38-53
A类：
conductivites
B类：
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AB值：
0.725227
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