A PDE approach to $L^\infty$ estimate for parabolic complex Monge-Ampere and Hessian equations

Abstract: Previously the $L^{\infty}$ and Holder estimates for complex Monge-Ampere were obtained using pluri-potential theory. We consider a version of the parabolic complex Monge-Ampere on compact Kähler manifolds using PDE approach, generalizing the recent work by Guo, Phong and Tong in the elliptic case.

analysis of PDEsclassical analysis and ODEsfunctional analysis

Audience: researchers in the topic

OARS Online Analysis Research Seminar

Series comments: Visit our homepage for further information