Some inverse problems for a nonlinear parabolic equation connected with continuous casting of steel: Stability estimates and regularization*
作者:
Andreas Binder,
Heinz W. Engl,
Sergio Vessella,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1990)
卷期:
Volume 11,
issue 7-8
页码: 643-671
ISSN:0163-0563
年代: 1990
DOI:10.1080/01630569008816395
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We consider a nonlinear parabolic equation which models the secondary cooling of steel in continuous slab casting and provide quantitative stability results both for the problem of determining the solidification front from measured Cauchy data and for the inverse problem of determining a cooling strategy that leads to a prescribed solidification front. For the latter problem, also stability and convergence of Tikhonov regularization are proved.
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