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Degenerate complex Monge-Ampère flows on strictly pseudoconvex domains

Published 28 Jan 2015 in math.CV | (1501.07167v3)

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

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