Parabolic complex Monge-Ampere equations on compact Kahler manifolds

Abstract

We study the long-time existence and convergence of general parabolic complex Monge-Ampere type equations whose second order operator is not necessarily convex or concave in the Hessian matrix of the unknown solution.

arXiv commentContribution to the Proceedings of the ICCM 2018, Taipei, Taiwan, 29 pages

References in corpus (8)

• The Monge-Ampère equation for (n-1)-plurisubharmonic functions on a compact Kähler manifold
• $C^{2,\alpha }$ estimates for nonlinear elliptic equations in complex and almost complex geometry
• KAWA lecture notes on the Kähler-Ricci flow
• Fu-Yau Hessian Equations
• The inverse Monge-Ampere flow and applications to Kahler-Einstein metrics
• Anomaly Flow and T-Duality
• A flow of conformally balanced metrics with Kähler fixed points
• The Anomaly flow on unimodular Lie groups

Cited by in corpus (2)

• Geometric Flows for the Type IIA String
• Parabolic complex Monge-Ampère equations on compact Hermitian manifolds