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arXiv · 1501.07167

Degenerate complex Monge-Ampère flows on strictly pseudoconvex domains

Hoang-Son Do
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Abstract

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.

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Hoang-Son Do. 2015-04-29. Degenerate complex Monge-Ampère flows on strictly pseudoconvex domains. https://doi.org/10.1007/s00209-016-1838-z

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