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Schauder estimates on smooth and singular spaces.

Authors :
Gui, Yaoting
Yin, Hao
Source :
Annals of Global Analysis & Geometry. Jun2021, Vol. 59 Issue 4, p457-481. 25p.
Publication Year :
2021

Abstract

In this paper, we present a proof of Schauder estimate on Euclidean space and use it to generalize Donaldson's Schauder estimate on space with conical singularities in the following two directions. The first is that we allow the total cone angle to be larger than 2 π and the second is that we discuss higher-order estimates. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ELLIPTIC equations
*CONES

Details

Language :
English
ISSN :
0232704X
Volume :
59
Issue :
4
Database :
Academic Search Index
Journal :
Annals of Global Analysis & Geometry
Publication Type :
Academic Journal
Accession number :
150305284
Full Text :
https://doi.org/10.1007/s10455-021-09760-x