On the De Giorgi-Nash-Moser regularity theory for kinetic equations
In this note we review some recent results regarding the De Giorgi-Nash-Moser weak regularity theory for Kolmogorov operators obtained in [10] in collaboration with A. Rebucci. To simplify the treatment, we focus on the model case of the Fokker-Planck equation with rough coefficients and we highligh...
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| Format: | Article |
| Language: | English |
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University of Bologna
2024-01-01
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| Series: | Bruno Pini Mathematical Analysis Seminar |
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| Online Access: | https://mathematicalanalysis.unibo.it/article/view/18846 |
| _version_ | 1797359638260219904 |
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| author | Francesca Anceschi |
| author_facet | Francesca Anceschi |
| author_sort | Francesca Anceschi |
| collection | DOAJ |
| description | In this note we review some recent results regarding the De Giorgi-Nash-Moser weak regularity theory for Kolmogorov operators obtained in [10] in collaboration with A. Rebucci. To simplify the treatment, we focus on the model case of the Fokker-Planck equation with rough coefficients and we highlight the main steps of the proof of a Harnack inequality for weak solutions. |
| first_indexed | 2024-03-08T15:26:37Z |
| format | Article |
| id | doaj.art-9f3fbb5105274b369cb7a1a93ded7e4c |
| institution | Directory Open Access Journal |
| issn | 2240-2829 |
| language | English |
| last_indexed | 2024-03-08T15:26:37Z |
| publishDate | 2024-01-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Bruno Pini Mathematical Analysis Seminar |
| spelling | doaj.art-9f3fbb5105274b369cb7a1a93ded7e4c2024-01-10T08:48:11ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292024-01-0114212110.6092/issn.2240-2829/1884617208On the De Giorgi-Nash-Moser regularity theory for kinetic equationsFrancesca Anceschi0Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle MarcheIn this note we review some recent results regarding the De Giorgi-Nash-Moser weak regularity theory for Kolmogorov operators obtained in [10] in collaboration with A. Rebucci. To simplify the treatment, we focus on the model case of the Fokker-Planck equation with rough coefficients and we highlight the main steps of the proof of a Harnack inequality for weak solutions.https://mathematicalanalysis.unibo.it/article/view/18846kolmogorov-fokker-planck equationharnack inequalityregularity theory |
| spellingShingle | Francesca Anceschi On the De Giorgi-Nash-Moser regularity theory for kinetic equations Bruno Pini Mathematical Analysis Seminar kolmogorov-fokker-planck equation harnack inequality regularity theory |
| title | On the De Giorgi-Nash-Moser regularity theory for kinetic equations |
| title_full | On the De Giorgi-Nash-Moser regularity theory for kinetic equations |
| title_fullStr | On the De Giorgi-Nash-Moser regularity theory for kinetic equations |
| title_full_unstemmed | On the De Giorgi-Nash-Moser regularity theory for kinetic equations |
| title_short | On the De Giorgi-Nash-Moser regularity theory for kinetic equations |
| title_sort | on the de giorgi nash moser regularity theory for kinetic equations |
| topic | kolmogorov-fokker-planck equation harnack inequality regularity theory |
| url | https://mathematicalanalysis.unibo.it/article/view/18846 |
| work_keys_str_mv | AT francescaanceschi onthedegiorginashmoserregularitytheoryforkineticequations |