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An Extension Problem Related To The Fractional Laplacian by poornivenni is a document available to read on EtoBox.
This paper generalizes the harmonic extension problem to characterize fractional powers of the Laplacian and other integro-differential operators. It establishes a connection between these operators and extension problems in the upper half space, allowing for the treatment of nonlinear variational problems. The authors derive properties of these equations using local arguments and provide explicit Poisson formulas for solutions.
- Author
- poornivenni
- Language
- EN