On direct and inverse problems for odd-order systems of quasilinear evolution equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913610581671936 |
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| author | Balashov, O. S. Faminskii, A. V. |
| author_facet | Balashov, O. S. Faminskii, A. V. |
| contents | Direct and inverse initial-boundary problems on a bounded interval for systems of quasilinear evolution equations with general nonlinearities are considered. In the case of inverse problems conditions of integral overdetermination are introduced and right-hand sides of equations of special types are chosen as controls. Results on well-posedness of such problems are established. Assumptions on smallness of the input data or smallness of a time interval are required. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15810 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On direct and inverse problems for odd-order systems of quasilinear evolution equations Balashov, O. S. Faminskii, A. V. Analysis of PDEs 35Q53 Direct and inverse initial-boundary problems on a bounded interval for systems of quasilinear evolution equations with general nonlinearities are considered. In the case of inverse problems conditions of integral overdetermination are introduced and right-hand sides of equations of special types are chosen as controls. Results on well-posedness of such problems are established. Assumptions on smallness of the input data or smallness of a time interval are required. |
| title | On direct and inverse problems for odd-order systems of quasilinear evolution equations |
| topic | Analysis of PDEs 35Q53 |
| url | https://arxiv.org/abs/2411.15810 |