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arXiv · 1605.01879

Weak solution of Parabolic complex Monge-Amp\'ere equation II

Hoang-Son Do
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Abstract

We study the Parabolic complex Monge-Amp\'ere equation in a bounded strictly pseudoconvex domain in \mathbb{C}^n, with the boundary condition u=\varphi and the initial condition u=u_0. In this paper, we consider the case where \varphi is smooth and u_0 is an arbitrary plurisubharmonic function in a neighbourhood of \Omega satisfying u_0=\varphi(.,0) on the boundary of \Omega.

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Hoang-Son Do. 2016-05-06. Weak solution of Parabolic complex Monge-Amp\'ere equation II. https://doi.org/10.1142/s0129167x16500981

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