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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Dedicated to Professor Haim Brezis on his 70th birthday
This work was supported by NSF grant DMS-1509505 and a postdoctoral fellowship of the National Science Foundation (No.DMS-1103786).
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Chang, S.Y.A., Yang, R.A. On a class of non-local operators in conformal geometry. Chin. Ann. Math. Ser. B 38, 215–234 (2017). https://doi.org/10.1007/s11401-016-1068-z
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DOI: https://doi.org/10.1007/s11401-016-1068-z