Quasilinear parabolic equations and the Ricci flow on manifolds with boundary

Pulemotov, Artem (2013) Quasilinear parabolic equations and the Ricci flow on manifolds with boundary. Journal für die reine und a ngewandte Mathematik, 683: 97-118. doi:10.1515/crelle-2012-0004

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
MIC15UQ330977.pdf Full text (open access) application/pdf 382.74KB 8

Author Pulemotov, Artem
Title Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
Journal name Journal für die reine und a ngewandte Mathematik   Check publisher's open access policy
ISSN 1435-5345
0075-4102
Publication date 2013-10
Sub-type Article (original research)
DOI 10.1515/crelle-2012-0004
Open Access Status File (Publisher version)
Issue 683
Start page 97
End page 118
Total pages 22
Place of publication Berlin, Germany
Publisher Walter de Gruyter GmbH
Language eng
Formatted abstract
The first part of the paper discusses a second-order quasilinear parabolic equation in a vector bundle over a compact manifold M with boundary ∂M. We establish a short-time existence theorem for this equation. The second part of the paper is devoted to the investigation of the Ricci flow on M. We propose a new boundary condition for the flow and prove two short-time existence results.

Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 3 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Fri, 23 May 2014, 21:30:39 EST by Artem Pulemotov on behalf of Mathematics