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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Generalized boundary Yamabe problem
- High order fractional GJMS operator
- Sobolov trace extension