Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2007
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/math/0702072 |
| Tags: |
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Sommario:
- 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.