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Weak solution of Parabolic complex Monge-Ampére equation II (1605.01879v1)
Published 6 May 2016 in math.CV
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.