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Schauder estimates
for equations with cone metrics, II
Bin Guo and Jian Song |
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Vol. 17 (2024), No. 3, 757–830
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Abstract |
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We continue our work on the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background Kähler metric of conical singularities along a divisor of simple normal crossings. As an application, we prove the short-time existence of the conical Kähler–Ricci flow with conical singularities along a divisor with simple normal crossings. |
Keywords
conic Kähler metrics, Schauder estimates
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Mathematical Subject Classification 2010
Primary: 35J15, 35K10, 35K67
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Milestones
Received: 23 October 2018
Revised: 6 July 2022
Accepted: 11 August 2022
Published: 24 April 2024
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Authors |
| Bin Guo | |
| Department of Mathematics Columbia University New York, NY United States |
Department of Mathematics &
Computer Science Rutgers University Newark, NJ United States |
| Jian Song | |
| Department of Mathematics Rutgers University Piscataway, NJ United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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