Higher order parabolic systems with piecewise DMO and Hölder continuous coefficients
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917732839063552 |
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| author | Dong, Hongjie Li, Haigang Xu, Longjuan |
| author_facet | Dong, Hongjie Li, Haigang Xu, Longjuan |
| contents | In this paper, we are concerned with divergence form, higher-order parabolic systems in a cylindrical domain with a finite number of subdomains. We establish $L_\infty$ and Schauder estimates of solutions when the leading coefficients and the non-homogeneous term exhibit piecewise Dini mean oscillation and piecewise Hölder continuity, respectively. To the best of our knowledge, our results are new for higher-order elliptic and parabolic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher order parabolic systems with piecewise DMO and Hölder continuous coefficients Dong, Hongjie Li, Haigang Xu, Longjuan Analysis of PDEs In this paper, we are concerned with divergence form, higher-order parabolic systems in a cylindrical domain with a finite number of subdomains. We establish $L_\infty$ and Schauder estimates of solutions when the leading coefficients and the non-homogeneous term exhibit piecewise Dini mean oscillation and piecewise Hölder continuity, respectively. To the best of our knowledge, our results are new for higher-order elliptic and parabolic systems. |
| title | Higher order parabolic systems with piecewise DMO and Hölder continuous coefficients |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.17733 |