Local regularity for fractional heat equations
| dc.contributor.author | Biccari, Umberto | |
| dc.contributor.author | Warma, Mahamadi | |
| dc.contributor.author | Zuazua, Enrique | |
| dc.date.accessioned | 2025-01-07T13:55:29Z | |
| dc.date.available | 2025-01-07T13:55:29Z | |
| dc.date.issued | 2018 | |
| dc.date.updated | 2025-01-07T13:55:29Z | |
| dc.description.abstract | We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbitrary bounded open set Ω ⊂ ℝN. Proofs combine classical abstract regularity results for parabolic equations with some new local regularity results for the associated elliptic problems. | en |
| dc.description.sponsorship | The work of Umberto Biccari was partially supported by the Advanced Grant DYCON (Dynamic Control) of the European Research Council Executive Agency, by the MTM2014-52347 and MTM2017-92996 Grants of the MINECO (Spain) and by the Air Force Office of Scientific Research under the Award No: FA9550-15-1-0027. The work of Mahamadi Warma was partially supported by the Air Force Office of Scientific Research under the Award No: FA9550-15-1-0027. The work of Enrique Zuazua was partially supported by the Advanced Grant DYCON (Dynamic Control) of the European Research Council Executive Agency, FA9550-15-1-0027 of AFOSR, FA9550-14-1-0214 of the EOARD-AFOSR, the MTM2014-52347 and MTM2017-92996 Grants of the MINECO (Spain) and ICON of the French ANR | en |
| dc.identifier.citation | Biccari, U., Warma, M., & Zuazua, E. (2018). Local regularity for fractional heat equations. En SEMA SIMAI Springer Series (Vol. 17, pp. 233-249). Springer International Publishing. https://doi.org/10.1007/978-3-319-97613-6_12 | |
| dc.identifier.doi | 10.1007/978-3-319-97613-6_12 | |
| dc.identifier.eissn | 2199-305X | |
| dc.identifier.issn | 2199-3041 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14454/2194 | |
| dc.language.iso | eng | |
| dc.publisher | Springer International Publishing | |
| dc.rights | © 2018 Springer Nature Switzerland AG | |
| dc.title | Local regularity for fractional heat equations | en |
| dc.type | book part | |
| dcterms.accessRights | metadata only access | |
| oaire.citation.endPage | 249 | |
| oaire.citation.startPage | 233 | |
| oaire.citation.title | SEMA SIMAI Springer Series | |
| oaire.citation.volume | 17 |