Spectral Theory of Elliptic Operators in Exterior Domains
| dc.creator | Gesztesy, Fritz | |
| dc.creator | Malamud, Mark M. | |
| dc.date | 2008-10-10 | |
| dc.date.accessioned | 2026-07-07T10:09:05Z | |
| dc.date.available | 2026-07-07T10:09:05Z | |
| dc.description | We consider various closed (and self-adjoint) extensions of elliptic differential expressions of the type $\cA=\sum_{0\le |α|,|β|\le m}(-1)^αD^αa_{α, β}(x)D^β$, $a_{α, β}(\cdot)\in C^{\infty}({\overlineΩ})$, on smooth (bounded or unbounded) domains in $\bbR^n$ with compact boundary. Using the concept of boundary triples and operator-valued Weyl-Titchmarsh functions, we prove various trace ideal properties of powers of resolvent differences of these closed realizations of $\cA$ and derive estimates on eigenvalues of certain self-adjoint realizations in spectral gaps of the Dirichlet realization. Our results extend classical theorems due to Visik, Povzner, Birman, and Grubb. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0810.1789 | |
| dc.identifier | http://arxiv.org/abs/0810.1789 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171213 | |
| dc.subject | Spectral Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35P20, 35J40, 47F05, 47A10 | |
| dc.title | Spectral Theory of Elliptic Operators in Exterior Domains | |
| dc.type | text |