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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.16184 |
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| _version_ | 1866916333107544064 |
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| author | Dzhamalov, Sirojiddin Khalkhadzhaev, Bakhtiyor |
| author_facet | Dzhamalov, Sirojiddin Khalkhadzhaev, Bakhtiyor |
| contents | In this article the correctness of al inear inverse problem with semi-nonlocal boundary conditions for a three-dimensional equation in a parallelepiped is considered. The equation itself is a fourth order mixed type equation of the second kind. The existence and uniqueness theorems for a generalized solution of the inverse problem in a certain class of integrable functions are~proved using the methods of Fourier, "$\varepsilon $-regularization", a priori estimates, approximating sequences and contracting mappings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16184 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A linear inverse problem with semi-nonlocal boundary conditions for a three-dimensional equation of mixed type of the second kind of the fourth order in a parallelepiped Dzhamalov, Sirojiddin Khalkhadzhaev, Bakhtiyor Analysis of PDEs In this article the correctness of al inear inverse problem with semi-nonlocal boundary conditions for a three-dimensional equation in a parallelepiped is considered. The equation itself is a fourth order mixed type equation of the second kind. The existence and uniqueness theorems for a generalized solution of the inverse problem in a certain class of integrable functions are~proved using the methods of Fourier, "$\varepsilon $-regularization", a priori estimates, approximating sequences and contracting mappings. |
| title | A linear inverse problem with semi-nonlocal boundary conditions for a three-dimensional equation of mixed type of the second kind of the fourth order in a parallelepiped |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.16184 |