Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425442 | Advances in Mathematics | 2015 | 38 Pages |
Abstract
The spectrum of a selfadjoint second order elliptic differential operator in L2(Rn) is described in terms of the limiting behavior of Dirichlet-to-Neumann maps, which arise in a multi-dimensional Glazman decomposition and correspond to an interior and an exterior boundary value problem. This leads to PDE analogs of renowned facts in spectral theory of ODEs. The main results in this paper are first derived in the more abstract context of extension theory of symmetric operators and corresponding Weyl functions, and are applied to the PDE setting afterwards.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jussi Behrndt, Jonathan Rohleder,