dc.identifier.uri |
http://dx.doi.org/10.15488/16420 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/16547 |
|
dc.contributor.author |
Lye, Jørgen Olsen
|
|
dc.contributor.author |
Vertman, Boris
|
|
dc.date.accessioned |
2024-02-27T11:45:25Z |
|
dc.date.available |
2024-02-27T11:45:25Z |
|
dc.date.issued |
2023 |
|
dc.identifier.citation |
Lye, J.O.; Vertman, B.: Long time existence of Yamabe flow on singular spaces with positive Yamabe constant. In: Analysis & PDE 16 (2023), Nr. 2, S. 477-510. DOI: https://doi.org/10.2140/apde.2023.16.477 |
|
dc.description.abstract |
We establish long-time existence of the normalized Yamabe flow with positive Yamabe constant on a class of manifolds that includes spaces with incomplete cone-edge singularities. We formulate our results axiomatically so that they extend to general stratified spaces as well, provided certain parabolic Schauder estimates hold. The central analytic tool is a parabolic Moser iteration, which yields uniform upper and lower bounds on both the solution and the scalar curvature. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Berkeley Calif. : Mathematical Sciences Publishers |
|
dc.relation.ispartofseries |
Analysis & PDE 16 (2023), Nr. 2 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
geometric evolution equations |
eng |
dc.subject |
nonlinear parabolic equations |
eng |
dc.subject |
positive scalar curvature |
eng |
dc.subject |
singular spaces |
eng |
dc.subject |
Yamabe flow |
eng |
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
Long time existence of Yamabe flow on singular spaces with positive Yamabe constant |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1948-206X |
|
dc.relation.issn |
2157-5045 |
|
dc.relation.doi |
https://doi.org/10.2140/apde.2023.16.477 |
|
dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
16 |
|
dc.bibliographicCitation.firstPage |
477 |
|
dc.bibliographicCitation.lastPage |
510 |
|
dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
|