| Autor: |
Annalaura Rebucci |
| Jazyk: |
English<br />Italian |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Bruno Pini Mathematical Analysis Seminar, Vol 14, Iss 2, Pp 139-162 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2240-2829 |
| DOI: |
10.6092/issn.2240-2829/18861 |
| Popis: |
We present recent results regarding the regularity theory for degenerate second order differential operators of Kolmogorov-type. In particular, we focus on Schauder estimates for classical solutions to Kolmogorov equations in non-divergence form with Dini-continuous coefficients obtained in [30] in collaboration with S. Polidoro and B. Stroffolini. Furthermore, we discuss new pointwise regularity results and a Taylor-type expansion up to second order with estimate of the rest in Lp norm, following the recent paper [14] in collaboration with E. Ipocoana. The proofs of both results are based on a blow-up technique. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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