Existence of a solution to the scattering problem for the ultrahyperbolic equation
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916455967096832 |
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| author | Demchenko, Maxim N. |
| author_facet | Demchenko, Maxim N. |
| contents | We consider the ultrahyperbolic equation in the Euclidean space. The behavior at the infinity of a certain class of solutions is studied. We examine the issue of existence of solutions to the scattering problem: for a given asymptotics at the infinity, the corresponding solution to the equation is constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20093 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of a solution to the scattering problem for the ultrahyperbolic equation Demchenko, Maxim N. Analysis of PDEs 35B40 We consider the ultrahyperbolic equation in the Euclidean space. The behavior at the infinity of a certain class of solutions is studied. We examine the issue of existence of solutions to the scattering problem: for a given asymptotics at the infinity, the corresponding solution to the equation is constructed. |
| title | Existence of a solution to the scattering problem for the ultrahyperbolic equation |
| topic | Analysis of PDEs 35B40 |
| url | https://arxiv.org/abs/2410.20093 |