Spectral theory of C-symmetric non-selfadjoint differential operators of order 2n-Reference-Cited by-同舟云学术

Spectral theory of C-symmetric non-selfadjoint differential operators of order 2n

Published:2023-03-27 Issue:Special Issue 02 Volume: Page:41-66
ISSN:1072-6691
Container-title:Electronic Journal of Differential Equations
language:
Short-container-title:ejde

Author:

Behncke Horst,Hinton Don

Abstract

We continue the spectral analysis of differential operators with complex coefficients, extending some results for Sturm-Liouville operators to higher order operators. We give conditions for the essential spectrum to be empty, and for the operator to have compact resolvent. Conditions are given on the coefficients for the resolvent to be Hilbert-Schmidt. These conditions are new even for real coefficients, i.e., the selfadjoint case. Asymptotic analysis is a central tool. See also https://ejde.math.txstate.edu/special/02/b2/abstr.html

Publisher

Texas State University

Subject

Analysis

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