LiY042020D.pdf (415.81 kB)
Asymptotic Expansions of Solutions of the Yamabe Equation near Isolated Singular Points
thesis
posted on 2020-04-06, 00:00 authored by Yichao LiWe study asymptotic behaviors of positive solutions to the Yamabe equation near isolated singularities and establish expansions up to arbitrary orders. Such results generalize an earlier pioneering work by Caffarelli, Gidas, and Spruck, and a work by Korevaar, Mazzeo, Pacard, and Schoen. Then, we study the existence of solutions with prescribed asymptotic expansions near singular points and an arbitrarily high order of approximation.
History
Date Modified
2020-05-13Defense Date
2020-03-27CIP Code
- 27.0101
Research Director(s)
Qing HanCommittee Members
Matthew Gursky Mei-Chi Shaw Alex Himonas AlexandrouDegree
- Doctor of Philosophy
Degree Level
- Doctoral Dissertation
Alternate Identifier
1154017022Library Record
5501939OCLC Number
1154017022Program Name
- Mathematics
Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC