ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM
A reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator. As a consequence, two-sided estimates are established for the modulus of co...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2015-12-01
|
| Series: | Ural Mathematical Journal |
| Subjects: | |
| Online Access: | https://umjuran.ru/index.php/umj/article/view/32 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849404160449970176 |
|---|---|
| author | Elena V. Tabarintseva |
| author_facet | Elena V. Tabarintseva |
| author_sort | Elena V. Tabarintseva |
| collection | DOAJ |
| description | A reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator. As a consequence, two-sided estimates are established for the modulus of continuity of a semilinear inverse problem in terms of the modulus of continuity of the corresponding linear problem. |
| format | Article |
| id | doaj-art-a4cbddfbedda4858ab9412c4fa22b508 |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-a4cbddfbedda4858ab9412c4fa22b5082025-08-20T03:37:05ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522015-12-011110.15826/umj.2015.1.0099ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEMElena V. Tabarintseva0South Ural State UniversityA reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator. As a consequence, two-sided estimates are established for the modulus of continuity of a semilinear inverse problem in terms of the modulus of continuity of the corresponding linear problem.https://umjuran.ru/index.php/umj/article/view/32Parabolic equationInverse problemModulus of continuity of the inverse operatorApproximate methodError estimate |
| spellingShingle | Elena V. Tabarintseva ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM Ural Mathematical Journal Parabolic equation Inverse problem Modulus of continuity of the inverse operator Approximate method Error estimate |
| title | ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM |
| title_full | ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM |
| title_fullStr | ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM |
| title_full_unstemmed | ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM |
| title_short | ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM |
| title_sort | on an estimate for the modulus of continuity of a nonlinear inverse problem |
| topic | Parabolic equation Inverse problem Modulus of continuity of the inverse operator Approximate method Error estimate |
| url | https://umjuran.ru/index.php/umj/article/view/32 |
| work_keys_str_mv | AT elenavtabarintseva onanestimateforthemodulusofcontinuityofanonlinearinverseproblem |