Asymptotics and convergence for the complex Monge-Ampere equation

Qing Han; Xumin Jiang

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arXiv · 1806.05371

Asymptotics and convergence for the complex Monge-Ampere equation

Qing Han·Xumin Jiang

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Abstract

We study the asymptotics of complete Kaehler-Einstein metrics on strictly pseudoconvex domains in C^n and derive a convergence theorem for solutions to the corresponding Monge-Ampere equation. If only a portion of the boundary is analytic, the solutions satisfy Gevrey type estimates for tangential derivatives. A counterexample for the model linearized equation suggests that there is no local convergence theorem for the complex Monge-Ampere equation

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Qing Han, Xumin Jiang. 2018-06-14. Asymptotics and convergence for the complex Monge-Ampere equation. https://arxiv.org/abs/1806.05371

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