A Comparison Principle for Parabolic Complex Monge–Ampère Equations

@article{D2021ACP,
  title={A Comparison Principle for Parabolic Complex Monge–Amp{\`e}re Equations},
  author={Ho{\`a}ng-So'n D{\^o} and Thanh Ngoc Pham},
  journal={The Journal of Geometric Analysis},
  year={2021}
}
In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Ampère equations on strongly pseudoconvex domains using the viscosity method. We prove a comparison principle for Parabolic complex Monge-Ampère equations and use it to study the existence and uniqueness of viscosity solution in certain cases where the sets {z ∈ Ω : f(t, z) = 0} may be pairwise disjoint. 

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