On a class of non-local operators in conformal geometry

Sun Yung Alice Chang; Ray A. Yang

doi:10.1007/s11401-016-1068-z

On a class of non-local operators in conformal geometry

Sun Yung Alice Chang
, Ray A. Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	215-234
Number of pages	20
Journal	Chinese Annals of Mathematics. Series B
Volume	38
Issue number	1
DOIs	https://doi.org/10.1007/s11401-016-1068-z
State	Published - Jan 1 2017

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Generalized boundary Yamabe problem
High order fractional GJMS operator
Sobolov trace extension

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10.1007/s11401-016-1068-z

Cite this

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abstract = "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.",

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AU - Yang, Ray A.

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AB - 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.

KW - Generalized boundary Yamabe problem

KW - High order fractional GJMS operator

KW - Sobolov trace extension

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On a class of non-local operators in conformal geometry

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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