On the uniqueness of the mild solution of the critical quasi-geostrophic equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911869659250688 |
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| author | Iwabuchi, Tsukasa Okazaki, Taiki |
| author_facet | Iwabuchi, Tsukasa Okazaki, Taiki |
| contents | We demonstrate that the uniqueness of the mild solution of the two-dimensional quasi-geostrophic equation with the critical dissipation holds in the scaling critical homogeneous Besov space $\dot{B}^0_{\infty,1}$. We consider a solustion of integral equation, and our result does not need regularity assumption. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04014 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the uniqueness of the mild solution of the critical quasi-geostrophic equation Iwabuchi, Tsukasa Okazaki, Taiki Analysis of PDEs 35Q35, 35Q86 We demonstrate that the uniqueness of the mild solution of the two-dimensional quasi-geostrophic equation with the critical dissipation holds in the scaling critical homogeneous Besov space $\dot{B}^0_{\infty,1}$. We consider a solustion of integral equation, and our result does not need regularity assumption. |
| title | On the uniqueness of the mild solution of the critical quasi-geostrophic equation |
| topic | Analysis of PDEs 35Q35, 35Q86 |
| url | https://arxiv.org/abs/2405.04014 |