Sharp eigenvalue asymptotics of fourth-order differential operators

Article type: Research Article

Authors: Polyakov, Dmitry M.^{; *}

Affiliations: Department of Mathematical Analysis, Southern Mathematical Institute, Vladikavkaz Scientific Center RAS, Markus 22, 362027, Vladikavkaz, Russian Federation

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: Two-term self-adjoint fourth-order differential operator with summable potential on the unit interval is considered. High energy eigenvalue asymptotics and the trace formula for this operator are obtained.

Keywords: Spectrum, eigenvalue asymptotics, fourth-order differential operator, trace formula

DOI: 10.3233/ASY-221760

Journal: Asymptotic Analysis, vol. 130, no. 3-4, pp. 477-503, 2022