Calderón-Zygmund type estimate for the parabolic double-phase system
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913397498445824 |
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| author | Kim, Wontae |
| author_facet | Kim, Wontae |
| contents | This paper provides a local and global Calderón-Zygmund type estimate of a weak solution to the parabolic double-phase system. The proof of local estimate is based on comparison estimates and the scaling invariant property of the parabolic double-phase system in the intrinsic cylinders of the stopping time argument setting. For the proof of the global estimate, we have applied the reflection and approximation techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10615 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Calderón-Zygmund type estimate for the parabolic double-phase system Kim, Wontae Analysis of PDEs 25D30, 35K55, 35K65 This paper provides a local and global Calderón-Zygmund type estimate of a weak solution to the parabolic double-phase system. The proof of local estimate is based on comparison estimates and the scaling invariant property of the parabolic double-phase system in the intrinsic cylinders of the stopping time argument setting. For the proof of the global estimate, we have applied the reflection and approximation techniques. |
| title | Calderón-Zygmund type estimate for the parabolic double-phase system |
| topic | Analysis of PDEs 25D30, 35K55, 35K65 |
| url | https://arxiv.org/abs/2304.10615 |