粘度解对抛物复Hessian型方程

Pub Date : 2022-01-30 DOI:10.4064/ap220130-7-9
H. Do
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引用次数: 0

摘要

本文证明了一类完全非线性抛物型方程Cauchy-Dirichlet问题黏性解的存在唯一性。这扩展了2010年Eyssidieux-Guedj-Zeriahi的最新结果。
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Viscosity solutions to parabolic complex Hessian type equations
In this paper, we show the existence and uniqueness of viscosity solution to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations. This extends recent results of Eyssidieux-Guedj-Zeriahi in [7].
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