Event
Victor Ivrii, Toronto
Wednesday, February 22, 2017 14:30to15:30
Burnside Hall
Room 1234, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Spectral asymptotics for fractional Laplacian.
Consider a compact domain with the smooth boundary in the Euclidean space. Fractional Laplacian is defined on functions supported in this domain as a (non-integer) power of the positive Laplacian on the whole space restricted then to this domain. Such operators appear in the theory of stochastic processes. It turns out that the standard results about distribution of eigenvalues (including two-term asymptotics) remain true for fractional Laplacians. There are however some unsolved problems. 聽