Hyperbolic Problems in the Whole Scale of Sobolev-Type Spaces of Periodic Functions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2007
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| _version_ | 1866915664210427904 |
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| author | Kmit, Irina |
| author_facet | Kmit, Irina |
| contents | We study one-dimensional linear hyperbolic systems with $L^{\infty}$-coefficients subjected to periodic conditions in time and reflection boundary conditions in space. We derive a priori estimates and give an operator representation of solutions in the whole scale of Sobolev-type spaces of periodic functions. These spaces give an optimal regularity trade-off for our problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0702072 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | Hyperbolic Problems in the Whole Scale of Sobolev-Type Spaces of Periodic Functions Kmit, Irina Analysis of PDEs 35L50 We study one-dimensional linear hyperbolic systems with $L^{\infty}$-coefficients subjected to periodic conditions in time and reflection boundary conditions in space. We derive a priori estimates and give an operator representation of solutions in the whole scale of Sobolev-type spaces of periodic functions. These spaces give an optimal regularity trade-off for our problem. |
| title | Hyperbolic Problems in the Whole Scale of Sobolev-Type Spaces of Periodic Functions |
| topic | Analysis of PDEs 35L50 |
| url | https://arxiv.org/abs/math/0702072 |