# Viscosity solutions to parabolic complex Monge-Amp\ere 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.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal-enac.archives-ouvertes.fr/hal-02370331
Contributor : Tat Dat Tô <>
Submitted on : Tuesday, November 19, 2019 - 1:46:32 PM
Last modification on : Wednesday, November 20, 2019 - 1:23:51 AM

### Identifiers

• HAL Id : hal-02370331, version 1
• ARXIV : 1905.11818

### Citation

Hoang-Son Do, Giang Le, Tat Dat Tô. Viscosity solutions to parabolic complex Monge-Amp\`ere equations. 2019. ⟨hal-02370331⟩

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