Quantitative Schauder estimates for hypoelliptic equations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908562225102848 |
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| author | Loher, Amélie |
| author_facet | Loher, Amélie |
| contents | We derive Schauder estimates using ideas from Campanato's approach for a general class of local hypoelliptic operators and non-local kinetic equations. The method covers equations in divergence and non-divergence form. In particular our results are applicable to the inhomogeneous Landau and to the non-cutoff Boltzmann equation. The paper is self-contained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_00463 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantitative Schauder estimates for hypoelliptic equations Loher, Amélie Analysis of PDEs 35K65, 45K05, 35B65, 82C40 We derive Schauder estimates using ideas from Campanato's approach for a general class of local hypoelliptic operators and non-local kinetic equations. The method covers equations in divergence and non-divergence form. In particular our results are applicable to the inhomogeneous Landau and to the non-cutoff Boltzmann equation. The paper is self-contained. |
| title | Quantitative Schauder estimates for hypoelliptic equations |
| topic | Analysis of PDEs 35K65, 45K05, 35B65, 82C40 |
| url | https://arxiv.org/abs/2305.00463 |