arXiv subjects
Publications and source records attributed to Hoang-Son Do.
We study the Parabolic complex Monge-Ampére equation in a bounded strictly pseudoconvex domain in \mathbb{C}^n, with the boundary condition u=φand the initial condition u=u_0. In this paper, we consider the case where φis smooth and u_0 is an arbitrary plurisubharmonic function in a neighbourhood of Ωsatisfying u_0=φ(.,0) on the boundary of Ω.
We study the equation $\dot{u}=\log\det (u_{α\barβ})-Au+f(z,t)$ in domains of $\mathbb{C}^n$. This equation has a close connection with the Kähler-Ricci flow. In this paper, we consider the case where the boundary condition is smooth and the initial condition is irregular.
We study the equation $\dot{u}=\log\det (u_{α\barβ})+f(t,z,u)$ in domains of $\mathbb C^n$. This equation has a close connection with the Kähler-Ricci flow. In this paper, we consider the case of the boundary conditions are smooth and the initial conditions are bounded.