A Comparison Principle for Parabolic Complex Monge–Ampère Equations

نویسندگان

چکیده

In this paper, we study the Cauchy–Dirichlet problem for parabolic complex Monge–Ampère equations on strongly pseudoconvex domains using viscosity method. We prove a comparison principle and use it to existence uniqueness of solution in certain cases where sets $$\{z\in \Omega : f(t, z)=0 \}$$ may be pairwise disjoint.

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ژورنال

عنوان ژورنال: Journal of Geometric Analysis

سال: 2021

ISSN: ['1559-002X', '1050-6926']

DOI: https://doi.org/10.1007/s12220-021-00748-4