Bounds on the non-real spectrum of differential operators with indefinite weights

Behrndt, Jussi GND; Philipp, Friedrich; Trunk, Carsten GND

Ordinary and partial differential operators with an indefinite weight function can be viewed as bounded perturbations of non-negative operators in Krein spaces. Under the assumption that 0 and infinity are not singular critical points of the unperturbed operator it is shown that a bounded additive perturbation leads to an operator whose non-real spectrum is contained in a compact set and with definite type real spectrum outside this set. The main results are quantitative estimates for this set, which are applied to Sturm-Liouville and second order elliptic partial differential operators with indefinite weights on unbounded domains.

Cite

Citation style:

Behrndt, Jussi / Philipp, Friedrich / Trunk, Carsten: Bounds on the non-real spectrum of differential operators with indefinite weights. 2012.

Access Statistic

Total:
Downloads:
Abtractviews:
Last 12 Month:
Downloads:
Abtractviews:

open graphic

Rights

Use and reproduction:
All rights reserved

Export