Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds

Abstract

In this paper, we obtain the Bedford-Taylor interior $C^2$ estimate and local Calabi $C^3$ estimate for the solutions to complex Monge-Ampère equations on Hermitian manifolds.

18 pages

References in corpus (3)

• Taming symplectic forms and the Calabi-Yau equation
• Complex Monge-Ampere equations on Hermitian manifolds
• The ${\mathcal{C}}^{2,\alpha }$ estimate of complex Monge-Ampere equation

Cited by in corpus (3)

• Interior derivative estimates for the Kähler-Ricci flow
• Estimates for a geometric flow for the Type IIB string
• Fully non-linear elliptic equations on compact almost Hermitian manifolds