# Analysis Seminar

#### Fractional Eigenvalues

Speaker: Eric Lindgren, NTNU

Location: Warren Weaver Hall 1302

Date: Tuesday, April 10, 2012, 11 a.m.

Synopsis:

I will discuss a non-local eigenvalue problem that arises as the Euler-Lagrange equation of Rayleigh quotients in the fractional Sobolev spaces. This can be seen as a non-local or fractional version of the eigenvalue problem for the p-Laplacian. In particular, I will talk about the limiting case when p goes to infinity for which the eigenvalues exhibit some strange behaviour that can be seen even in some one-dimensional examples.