On the regularity theory for mixed local and nonlocal quasilinear parabolic equations
| dc.contributor | Aalto-yliopisto | fi |
| dc.contributor | Aalto University | en |
| dc.contributor.author | Garain, Prashanta | en_US |
| dc.contributor.author | Kinnunen, Juha | en_US |
| dc.contributor.department | Department of Mathematics and Systems Analysis | en |
| dc.contributor.groupauthor | Analysis | en |
| dc.date.accessioned | 2024-10-02T06:45:17Z | |
| dc.date.available | 2024-10-02T06:45:17Z | |
| dc.date.issued | 2024-03-31 | en_US |
| dc.description | Publisher Copyright: © 2024 Scuola Normale Superiore. All rights reserved. | |
| dc.description.abstract | We consider mixed local and nonlocal quasilinear parabolic equations of p-Laplace type and discuss several regularity properties of weak solutions for such equations. More precisely, we establish local boundedness of weak subsolutions, lower semicontinuity of weak supersolutions as well as upper semicontinuity of weak subsolutions. We also discuss the pointwise behavior of the semicontinuous representatives. Our main results are valid for sign-changing solutions. Our approach is purely analytic and is based on energy estimates and the De Giorgi theory. | en |
| dc.description.version | Peer reviewed | en |
| dc.format.extent | 47 | |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.citation | Garain, P & Kinnunen, J 2024, 'On the regularity theory for mixed local and nonlocal quasilinear parabolic equations', Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 25, no. 1, pp. 495-541. https://doi.org/10.2422/2036-2145.202110_006 | en |
| dc.identifier.doi | 10.2422/2036-2145.202110_006 | en_US |
| dc.identifier.issn | 0391-173X | |
| dc.identifier.issn | 2036-2145 | |
| dc.identifier.other | PURE UUID: 6ded8987-e641-4667-87c5-8e3aa6d7cfa6 | en_US |
| dc.identifier.other | PURE ITEMURL: https://research.aalto.fi/en/publications/6ded8987-e641-4667-87c5-8e3aa6d7cfa6 | en_US |
| dc.identifier.other | PURE LINK: http://www.scopus.com/inward/record.url?scp=85189365101&partnerID=8YFLogxK | |
| dc.identifier.other | PURE FILEURL: https://research.aalto.fi/files/159933158/SCI_Garain_etal_2024.pdf | en_US |
| dc.identifier.uri | https://aaltodoc.aalto.fi/handle/123456789/131061 | |
| dc.identifier.urn | URN:NBN:fi:aalto-202410026601 | |
| dc.language.iso | en | en |
| dc.publisher | Scuola Normale Superiore | |
| dc.relation.ispartofseries | Annali della Scuola Normale Superiore di Pisa - Classe di Scienze | en |
| dc.relation.ispartofseries | Volume 25, issue 1, pp. 495-541 | en |
| dc.rights | openAccess | en |
| dc.title | On the regularity theory for mixed local and nonlocal quasilinear parabolic equations | en |
| dc.type | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä | fi |
| dc.type.version | acceptedVersion |