On a Class of Non-local Operators in Conformal Geometry

查看全文 作　　者：Sun Yung Alice [1]CHANG;Ray [1]A.YANG

机构地区：[1]Mathematics Department,Princeton University,Fine Hall,Washington Road,Princeton New Jersey 08544-1000,USA

出　　处：《Chinese Annals of Mathematics,Series B》索引2017年第38卷第1期,共20页

基　　金：supported by NSF grant DMS-1509505;a postdoctoral fellowship of the National Science Foundation(No.DMS-1103786) 摘　　要：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. 关键词：High order fractional GJMS operator Generalized boundary Yamabe problem Sobolov trace extension

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On a Class of Non-local Operators in Conformal Geometry

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