Weak solutions to degenerate complex Monge-Ampère flows. II

DOI10.1016/j.aim.2016.02.010zbMath1367.32027arXiv1407.2504OpenAlexW2279003597MaRDI QIDQ261164

Vincent Guedj, Philippe Eyssidieux, Ahmed Zeriahi

Publication date: 22 March 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2504

zbMATH Keywords

viscosity solutionscomplex Monge-Ampère equationcanonical singularitiesKähler-Ricci flow

Mathematics Subject Classification ID

Kähler-Einstein manifolds (32Q20) Complex Monge-Ampère operators (32W20) Parabolic Monge-Ampère equations (35K96)

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Cites Work

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• Volume estimates for Kähler-Einstein metrics and rigidity of complex structures
• A viscosity approach to the Dirichlet problem for complex Monge-Ampère equations
• The Kähler-Ricci flow through singularities
• A new capacity for plurisubharmonic functions
• Intrinsic capacities on compact Kähler manifolds
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Geometry of Kähler metrics and foliations by holomorphic discs
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• The Dirichlet problem for a complex Monge-Ampère equation
• Méthodes de contrôle optimal en analyse complexe. I: Résolution d'équation de Monge Ampère
• The complex Monge-Ampère equation
• Regularity of weak solutions of a complex Monge-Ampère equation
• Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
• Weak solutions to degenerate complex Monge-Ampère flows. I
• Continuous approximation of quasi-plurisubharmonic functions
• An Introduction to Fully Nonlinear Parabolic Equations
• Regularizing Properties of the Kähler–Ricci Flow
• Canonical measures and Kähler-Ricci flow
• On the weak Kähler-Ricci flow
• Viscosity solutions to degenerate complex monge-ampère equations
• Singular Kähler-Einstein metrics
• On regularization of plurisubharmonic functions on manifolds
• Corrigendum: K‐Stability and Kähler‐Einstein Metrics
• The Moser-Trudinger inequality on Kähler-Einstein manifolds
• Existence of minimal models for varieties of log general type
• Dirichlet duality and the nonlinear Dirichlet problem
• User’s guide to viscosity solutions of second order partial differential equations