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The $L^{\infty}$
estimate for parabolic complex Monge–Ampère equations
Qizhi Zhao |
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Vol. 18 (2025), No. 8, 1875–1896
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Abstract |
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Following the recent developments in Chen and Cheng (2023) and Guo et al. (2023), we derive the estimate for Kähler–Ricci flows under certain integral assumptions. The technique also extends to some other parabolic Monge–Ampère equations derived from Kähler geometry and geometry. |
Keywords
auxiliary equations, energy estimates, parabolic complex
Monge–Ampère equations
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Mathematical Subject Classification
Primary: 53E30, 58J90
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Milestones
Received: 29 June 2023
Revised: 12 July 2024
Accepted: 20 September 2024
Published: 25 July 2025
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Authors |
| Qizhi Zhao | |
| University of California,
Irvine Irvine, CA United States |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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