SOME INVERSE PROBLEMS FOR A NONLINEAR PARABOLIC EQUATION CONNECTED WITH CONTINUOUS-CASTING OF STEEL - STABILITY ESTIMATES AND REGULARIZATION

被引：15

作者：

BINDER, A

ENGL, HW

VESSELLA, S

机构：

[1] JOHANNES KEPLER UNIV,INST MATH,A-4040 LINZ,AUSTRIA

[2] UNIV SALERNO,FAC INGN,I-84100 SALERNO,ITALY

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1990年 / 11卷 / 7-8期

关键词：

D O I：

10.1080/01630569008816395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：643 / 671

页数：29

共 15 条

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ENGL, HW
MANSELLI, P
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (5-6) : 517 - 540
[5] CONVERGENCE-RATES FOR TIKHONOV REGULARISATION OF NON-LINEAR ILL-POSED PROBLEMS
ENGL, HW
KUNISCH, K
NEUBAUER, A
[J]. INVERSE PROBLEMS, 1989, 5 (04) : 523 - 540
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[7] ENGL HW, 1987, OPTIMAL CONTROL PART, V78, P67
[8] ENGL HW, 1988, CASE STUDIES IND MAT, P51
[9] Fasano A., 1983, FREE BOUNDARY PROBLE, V2
[10] FASANO A, 1983, FREE BOUNDARY PROBLE, V1

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