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Viscosity solutions to parabolic complex Monge-Ampère equations

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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Contributor : Tat Dat Tô Connect in order to contact the contributor
Submitted on : Tuesday, November 19, 2019 - 1:46:32 PM
Last modification on : Wednesday, November 3, 2021 - 4:50:51 AM

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Hoang-Son Do, Giang Le, Tat Dat Tô. Viscosity solutions to parabolic complex Monge-Ampère equations. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2020, 59 (45 (2020)), ⟨10.1007/s00526-020-1700-3⟩. ⟨hal-02370331⟩



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