Abstract:
In this talk we consider the Dirichlet problem for a class of Hessian type equation with its structure as a combination of elementary symmetric functions on Hermitian manifolds. This kind of equations includes some of the most partial differential equations in complex geometry and analysis. Under some conditions with the initial data on manifolds and admissible subsolutions, we derive a priori estimates for this complex mixed Hessian equation and solvability of the corresponding Dirichlet problem.
Speaker:
Qiang Tu is currently a lecturer at Hubei University. He obtained his Ph.D. at Wuhan University in 2017 under the supervision of Wenyi Chen. His research focuses on fully nonlinear partial differential equations and geometric analysis.
Zoom:
Link: https://us02web.zoom.us/j/88297536698?pwd=QlJMaG13V09ialFuRGRXcWY4a1ZtZz09
ID: 882 9753 6698
Password: 089974