Stability estimates and regularization for an inverse heat conduction prolem in semi - infinite and finite time intervals
作者:
Heinz W. Engl,
Paolo Manselli,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1989)
卷期:
Volume 10,
issue 5-6
页码: 517-540
ISSN:0163-0563
年代: 1989
DOI:10.1080/01630568908816316
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
The problem of determining the temperature or the heat flux on one end of an interval from temperature measurements on the (insulated) other end is ill-posed. For the cases of a semi-infinite or finite time - interval, we obtain stability estimates of logarithmic type under simple a-priori assumptions. If we assume more smoothness, we obtain stability estimates of Hölder type via Tikhonov regularization.
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