A Carleman estimate and an energy method for a first-order symmetric hyperbolic system
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866910909794877440 |
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| author | Floridia, G. Takase, H. Yamamoto, M. |
| author_facet | Floridia, G. Takase, H. Yamamoto, M. |
| contents | For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman estimate, we prove an observability $L^2$-estimate for initial values by boundary data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_12465 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A Carleman estimate and an energy method for a first-order symmetric hyperbolic system Floridia, G. Takase, H. Yamamoto, M. Analysis of PDEs For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman estimate, we prove an observability $L^2$-estimate for initial values by boundary data. |
| title | A Carleman estimate and an energy method for a first-order symmetric hyperbolic system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2110.12465 |