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Viscosity solutions to parabolic complex Monge-Ampère equations

Published 25 May 2019 in math.CV | (1905.11818v2)

Abstract: In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Amp`ere equations on a strongly pseudoconvex domain by the viscosity method. We extend the results in [EGZ15b] on the existence of solution and the convergence at infinity. We also establish the H\"older regularity of the solutions when the Cauchy-Dirichlet data are H\"older continuous.

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