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arXiv · 1905.11818

Viscosity solutions to parabolic complex Monge-Amp\`ere equations

Hoang-Son Do·Giang Le·Tat Dat Tô
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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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Hoang-Son Do, Giang Le, Tat Dat Tô. 2019-05-25. Viscosity solutions to parabolic complex Monge-Amp\`ere equations. https://arxiv.org/abs/1905.11818

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