A stochastic resolution of a complex Monge-Ampère equation on a negatively curved Kähler manifold
type: Item
instance of: scholarly article
title: A stochastic resolution of a complex Monge-Ampère equation on a negatively curved Kähler manifold
zbMATH Open document ID: 0646.53058
author: Hiroshi Kaneko
published in: Osaka Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: This paper solves the Dirichlet problem for the complex Monge-Ampère equation on a simply-connected, negatively curved Kähler manifold. Existence and uniqueness of solutions are established using the method of stochastic resolution which was introduced by \textit{B. Gaveau} [J. Funct. Anal. 25, 391-411 (1977; Zbl 0356.35071)].
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4054523
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: complex Monge-Ampère equation
zbMATH Keywords: Kähler manifold
zbMATH Keywords: method of stochastic resolution
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4054523