Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929389326827520 |
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| author | Cai, Hong Chen, Geng Du, Yi Shen, Yannan |
| author_facet | Cai, Hong Chen, Geng Du, Yi Shen, Yannan |
| contents | In this paper, we prove the uniqueness of energy conservative Holder continuous weak solution to a general quasilinear wave equation by the analysis of characteristics. This result has no restriction on the size of solutions, i.e. it is a large data result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_14582 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle Cai, Hong Chen, Geng Du, Yi Shen, Yannan Analysis of PDEs In this paper, we prove the uniqueness of energy conservative Holder continuous weak solution to a general quasilinear wave equation by the analysis of characteristics. This result has no restriction on the size of solutions, i.e. it is a large data result. |
| title | Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2007.14582 |