A stability result for parameter identification problems in nonlinear parabolic problems
A sequence of identification problems of coefficients in the parabolic equation with nonlinear boundary conditions is considered. The parameter (index of an element of the sequence) appears in the cost functionals as well as boundary data. It is proved that the optimal solutions exist and that under...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000020 |
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| Summary: | A sequence of identification problems of coefficients in the parabolic equation with
nonlinear boundary conditions is considered. The parameter (index of an element of the sequence)
appears in the cost functionals as well as boundary data. It is proved that the optimal solutions
exist and that under some continuous convergence of the cost functionals and the convergence of
the data, the sets of optimal solutions converge in some sense to the set of optimal solutions of
the limit problem. |
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| ISSN: | 0161-1712 1687-0425 |