Transport equations in Hölder space by vanishing viscosity and applications
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913580563038208 |
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| author | Honoré, Igor |
| author_facet | Honoré, Igor |
| contents | We obtain a sharp limit Hölder continuity of the solution for the transport equations thanks to a vanishing viscosity analysis. We also derive the same control for parabolic equations and for inviscid Burgers' equation. Eventually, under a structural hypothesis on the coefficients, we provide existence and uniqueness of a Hölder continuous solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_09530 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Transport equations in Hölder space by vanishing viscosity and applications Honoré, Igor Analysis of PDEs Primary: 35K40, 35J75, Secondary: 35A02, 46E35 We obtain a sharp limit Hölder continuity of the solution for the transport equations thanks to a vanishing viscosity analysis. We also derive the same control for parabolic equations and for inviscid Burgers' equation. Eventually, under a structural hypothesis on the coefficients, we provide existence and uniqueness of a Hölder continuous solution. |
| title | Transport equations in Hölder space by vanishing viscosity and applications |
| topic | Analysis of PDEs Primary: 35K40, 35J75, Secondary: 35A02, 46E35 |
| url | https://arxiv.org/abs/2209.09530 |