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Weak solution of Parabolic complex Monge-Ampère equation

Published 4 Jun 2015 in math.CV | (1506.01506v3)

Abstract: We study the equation $\dot{u}=\log\det (u_{\alpha\bar{\beta}})-Au+f(z,t)$ in domains of $\mathbb{C}n$. This equation has a close connection with the K\"ahler-Ricci flow. In this paper, we consider the case where the boundary condition is smooth and the initial condition is irregular.

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