Resonances of third order differential operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:478

Article

Korotyaev, Evgeny L.¹ 

[1] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia

关键词: Third order operators;    Resonances;    Trace formula;   

DOI  :  10.1016/j.jmaa.2019.05.007

来源: Elsevier

【 摘 要 】

We consider resonances for third order ordinary differential operators with compactly supported coefficients on the real line. Resonance are defined as zeros of a Fredholm determinant on a non-physical sheet of three sheeted Riemann surface. We determine upper bounds of the number of resonances in complex discs at large radius. We express the trace formula in terms of resonances only. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free