An application of singular functions to Schrodinger operators
Victor Nistor

Abstract: "We show how to use singular functions and weighted Sobolev spaces to study the eigenvalues of Schrodinger operators with periodic potentials in three dimensions. We also show how to use graded meshes to study a modified Schrodinger operator on a polygonal domain in the plane to obtain optimal rates of convergence. This is based on joint work with Constantin Bacuta, Ludmil Zikatanov, Hengguang Li, Eugenie Hunsiker, and Jorge Sofo."