| dc.contributor.author | Aryan, Shrey | |
| dc.contributor.author | Law, Michael B. | |
| dc.date.accessioned | 2025-08-08T19:57:51Z | |
| dc.date.available | 2025-08-08T19:57:51Z | |
| dc.date.issued | 2025-07-10 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/162280 | |
| dc.description.abstract | We establish a concavity principle for solutions to elliptic and parabolic equations on locally symmetric spaces with nonnegative sectional curvature, extending the results of Langford and Scheuer (Commun Partial Differ Equ 46(6):1005–1016, 2021). To the best of our knowledge, this is the first general concavity principle established on spaces with non-constant sectional curvature. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00526-025-03049-8 | en_US |
| dc.rights | Creative Commons Attribution | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Aryan, S., Law, M.B. Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature. Calc. Var. 64, 202 (2025). | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Calculus of Variations and Partial Differential Equations | en_US |
| dc.identifier.mitlicense | PUBLISHER_CC | |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2025-07-18T15:30:27Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s) | |
| dspace.embargo.terms | N | |
| dspace.date.submission | 2025-07-18T15:30:27Z | |
| mit.journal.volume | 64 | en_US |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
