Remarks on the maximal regularity for parabolic boundary value problems with inhomogeneous data
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915765818490880 |
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| author | Chen, Hui Liang, Su Tsai, Tai-Peng |
| author_facet | Chen, Hui Liang, Su Tsai, Tai-Peng |
| contents | Inspired by Ogawa-Shimizu [JEE 2022] and Chen-Liang-Tsai [IMRN 2025] on the second and first order derivative estimates of solution of heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01230 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on the maximal regularity for parabolic boundary value problems with inhomogeneous data Chen, Hui Liang, Su Tsai, Tai-Peng Analysis of PDEs Inspired by Ogawa-Shimizu [JEE 2022] and Chen-Liang-Tsai [IMRN 2025] on the second and first order derivative estimates of solution of heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives. |
| title | Remarks on the maximal regularity for parabolic boundary value problems with inhomogeneous data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.01230 |