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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.00687 |
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| _version_ | 1866909374665981952 |
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| author | Grube, Florian |
| author_facet | Grube, Florian |
| contents | We prove sharp two-sided estimates of the fundamental solution to the fractional Kolmogorov equation in $\mathbb{R}\times \mathbb{R}$ using Fourier methods. Additionally, we provide an explicit form of the fundamental solution in case of the square root of the Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00687 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pointwise estimates of the fundamental solution to the fractional Kolmogorov equation Grube, Florian Analysis of PDEs 35K08, 35K65, 60G52, 35C05, 47G20, 35H10, 82C40 We prove sharp two-sided estimates of the fundamental solution to the fractional Kolmogorov equation in $\mathbb{R}\times \mathbb{R}$ using Fourier methods. Additionally, we provide an explicit form of the fundamental solution in case of the square root of the Laplacian. |
| title | Pointwise estimates of the fundamental solution to the fractional Kolmogorov equation |
| topic | Analysis of PDEs 35K08, 35K65, 60G52, 35C05, 47G20, 35H10, 82C40 |
| url | https://arxiv.org/abs/2411.00687 |