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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.10747 |
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| _version_ | 1866909499155021824 |
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| author | Lee, David |
| author_facet | Lee, David |
| contents | We introduce a method of obtaining a higher order extension problem, á la Caffarelli-Silvestre, utilizing ideas from renormalization. Moreover, we give an alternative perspective of the recently developed extension problem for the logarithmic laplacian developed by Chen, Hauer and Weth (2023) [arXiv:2312.15689]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10747 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An extension problem of higher order operators and operators of logarithmic type via renormalization Lee, David Analysis of PDEs 35S15, 42B37, 42B15 We introduce a method of obtaining a higher order extension problem, á la Caffarelli-Silvestre, utilizing ideas from renormalization. Moreover, we give an alternative perspective of the recently developed extension problem for the logarithmic laplacian developed by Chen, Hauer and Weth (2023) [arXiv:2312.15689]. |
| title | An extension problem of higher order operators and operators of logarithmic type via renormalization |
| topic | Analysis of PDEs 35S15, 42B37, 42B15 |
| url | https://arxiv.org/abs/2502.10747 |