On a class of non-local operators in conformal geometry

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• 作者：Sun Yung Alice Chang ; Ray A. Yang
• 关键词：High order fractional GJMS operator ; Generalized boundary Yamabe problem ; Sobolov trace extension
• 刊名：Chinese Annals of Mathematics, Series B
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：38
• 期：1
• 页码：215-234
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1860-6261
• 卷排序：38

文摘

In this expository article, the authors discuss the connection between the study of non-local operators on Euclidean space to the study of fractional GJMS operators in conformal geometry. The emphasis is on the study of a class of fourth order operators and their third order boundary operators. These third order operators are generalizations of the Dirichlet-to-Neumann operator.