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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2501.09346 |
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| _version_ | 1866915105517600768 |
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| author | Chou, Shih-Wei Lin, Ying-Chieh Tsuge, Naoki |
| author_facet | Chou, Shih-Wei Lin, Ying-Chieh Tsuge, Naoki |
| contents | In this paper, we study quasi-linear hyperbolic systems. Our goal in this paper is to provide a new proof of local existence of a classical solution for the system. Most difficult point is to prove the convergence of the derivative of approximate solutions by the Arzela-Ascoli theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09346 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local Existence of a Classical Solution for Quasi-Linear Hyperbolic Systems Chou, Shih-Wei Lin, Ying-Chieh Tsuge, Naoki Analysis of PDEs In this paper, we study quasi-linear hyperbolic systems. Our goal in this paper is to provide a new proof of local existence of a classical solution for the system. Most difficult point is to prove the convergence of the derivative of approximate solutions by the Arzela-Ascoli theorem. |
| title | Local Existence of a Classical Solution for Quasi-Linear Hyperbolic Systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.09346 |