On a certain representation of a solution to the characteristic problem for the ultrahyperbolic equation
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917433171771392 |
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| author | Demchenko, Maxim N. |
| author_facet | Demchenko, Maxim N. |
| contents | We consider the characteristic problem for the ultrahyperbolic equation in the Euclidean space. The value of a solution is prescribed on the characteristic hyperplane. A well-posed set-up of the problem is discussed. We obtain a certain representation for a solution suitable for analysis of its asymptotics at the infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22402 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a certain representation of a solution to the characteristic problem for the ultrahyperbolic equation Demchenko, Maxim N. Analysis of PDEs 35B40 We consider the characteristic problem for the ultrahyperbolic equation in the Euclidean space. The value of a solution is prescribed on the characteristic hyperplane. A well-posed set-up of the problem is discussed. We obtain a certain representation for a solution suitable for analysis of its asymptotics at the infinity. |
| title | On a certain representation of a solution to the characteristic problem for the ultrahyperbolic equation |
| topic | Analysis of PDEs 35B40 |
| url | https://arxiv.org/abs/2604.22402 |