On regularity for nonhomogeneous parabolic systems with a skew-symmetric part in BMO
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929734904971264 |
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| author | Zhang, Guoming |
| author_facet | Zhang, Guoming |
| contents | In this paper we investigate the improved Caccioppoli inequality and the reverse Hölder inequality for gradients of weak solutions to nonhomogeneous parabolic systems whose coefficients can be split into a complex-valued and bounded part, which also satisfies the uniform G$\mathring{a}$rding inequality, and a real and anti-symmetric part in BMO. In particular, unbounded coefficients are allowed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On regularity for nonhomogeneous parabolic systems with a skew-symmetric part in BMO Zhang, Guoming Analysis of PDEs In this paper we investigate the improved Caccioppoli inequality and the reverse Hölder inequality for gradients of weak solutions to nonhomogeneous parabolic systems whose coefficients can be split into a complex-valued and bounded part, which also satisfies the uniform G$\mathring{a}$rding inequality, and a real and anti-symmetric part in BMO. In particular, unbounded coefficients are allowed. |
| title | On regularity for nonhomogeneous parabolic systems with a skew-symmetric part in BMO |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.01741 |