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学术报告

Levi-flat graphs with non-compact boundary - II.-Prof. Nikolai Shcherbina (德国Wuppertal大学)

系列学术报告

 

报告人:Prof. Nikolai Shcherbina  (德国Wuppertal大学)

题目:Levi-flat graphs with non-compact boundary - II.

摘要:We first explain the following two examples:

1) An example of an unbounded domains in CxR and a function on its boundary such that the solution of the Dirichlet problem for Levi-flat surfaces on this domain with the given boundary data is not unique.

2) An example of an unbounded domains in C^2 and a continuous function on its boundary such that the Dirichlet problem for the Monge-Ampere equation (with the zero right-hand side) on this domain with the given boundary data has no solutions.

Then we discuss the general situation with the Dirichlet problem (in the non-graph case) for Levi-flat surfaces with the given boundary.

时间:9月21日(周三)上午10:30-11:30

地点:首都师大北二区教学楼514教室

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