The C2,α-estimate for conical Kähler–Ricci flow

In this note, we establish a parabolic version of Tian’s C 2 , α -estimate for conical complex Monge–Ampere equations (Tian in Chin Ann Math Ser B 38(2):687–694, 2017 ), which includes conical Kähler–Einstein metrics. Our estimate will complete the proof of the existence of unnormalized conical Kähl...

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 57; no. 2
Main Author Shen, Liangming
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2018
Subjects
Analysis
Calculus of Variations and Optimal Control; Optimization
Control
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
53C44
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Summary:In this note, we establish a parabolic version of Tian’s C 2 , α -estimate for conical complex Monge–Ampere equations (Tian in Chin Ann Math Ser B 38(2):687–694, 2017 ), which includes conical Kähler–Einstein metrics. Our estimate will complete the proof of the existence of unnormalized conical Kähler–Ricci flow in Shen (J Reine Angew Math, [ 28 ]).
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-018-1308-z