A comparison principle for parabolic complex Monge-Amp\`ere equations
Abstract
In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Amp\`ere equations on strongly pseudoconvex domains using the viscosity method. We prove a comparison principle for Parabolic complex Monge-Amp\`ere equations and use it to study the existence and uniqueness of viscosity solution in certain cases where the sets \z∈: f(t, z)=0 \ may be pairwise disjoint.
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