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

Abstract

We study the Parabolic complex Monge-Amp\'ere equation in a bounded strictly pseudoconvex domain in Cn, with the boundary condition u= and the initial condition u=u0. In this paper, we consider the case where is smooth and u0 is an arbitrary plurisubharmonic function in a neighbourhood of satisfying u0=(.,0) on the boundary of .

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