Bounded Solutions to Boundary Value Hyperbolic Problems
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866909951154192384 |
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| author | Klyuchnyk, R. Kmit, I. |
| author_facet | Klyuchnyk, R. Kmit, I. |
| contents | We investigate linear boundary value problems for first-order one-dimensional hyperbolic systems in a strip. We establish conditions for existence and uniqueness of bounded continuous solutions. For that we suppose that the non-diagonal part of the zero-order coefficients vanish at infinity. Moreover, we establish a dissipativity condition in terms of the boundary data and the diagonal part of the zero-order coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1701_02091 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Bounded Solutions to Boundary Value Hyperbolic Problems Klyuchnyk, R. Kmit, I. Analysis of PDEs 35A17, 35F45, 35L40 We investigate linear boundary value problems for first-order one-dimensional hyperbolic systems in a strip. We establish conditions for existence and uniqueness of bounded continuous solutions. For that we suppose that the non-diagonal part of the zero-order coefficients vanish at infinity. Moreover, we establish a dissipativity condition in terms of the boundary data and the diagonal part of the zero-order coefficients. |
| title | Bounded Solutions to Boundary Value Hyperbolic Problems |
| topic | Analysis of PDEs 35A17, 35F45, 35L40 |
| url | https://arxiv.org/abs/1701.02091 |