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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832559816293220352 |
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| author | Stanislaw Migórski |
| author_facet | Stanislaw Migórski |
| author_sort | Stanislaw Migórski |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-302f07b5d46a42e796b18b497b5559ef |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-302f07b5d46a42e796b18b497b5559ef2025-02-03T01:29:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-01181253210.1155/S0161171295000020A stability result for parameter identification problems in nonlinear parabolic problemsStanislaw Migórski0Institute for Information Siences, Jagellonian University, ul. Naswojki 11, Cracow 30072, PolandA 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.http://dx.doi.org/10.1155/S0161171295000020inverse problemsystem identificationstability of solutions parabolic differential equationnonlinear boundary condition. |
| spellingShingle | Stanislaw Migórski A stability result for parameter identification problems in nonlinear parabolic problems International Journal of Mathematics and Mathematical Sciences inverse problem system identification stability of solutions parabolic differential equation nonlinear boundary condition. |
| title | A stability result for parameter identification problems in nonlinear parabolic problems |
| title_full | A stability result for parameter identification problems in nonlinear parabolic problems |
| title_fullStr | A stability result for parameter identification problems in nonlinear parabolic problems |
| title_full_unstemmed | A stability result for parameter identification problems in nonlinear parabolic problems |
| title_short | A stability result for parameter identification problems in nonlinear parabolic problems |
| title_sort | stability result for parameter identification problems in nonlinear parabolic problems |
| topic | inverse problem system identification stability of solutions parabolic differential equation nonlinear boundary condition. |
| url | http://dx.doi.org/10.1155/S0161171295000020 |
| work_keys_str_mv | AT stanislawmigorski astabilityresultforparameteridentificationproblemsinnonlinearparabolicproblems AT stanislawmigorski stabilityresultforparameteridentificationproblemsinnonlinearparabolicproblems |