TY - JOUR

T1 - Eigenvalues of Schrödinger operators on finite and infinite intervals

AU - Korotyaev, Evgeny L.

N1 - Publisher Copyright: © 2021 Wiley-VCH GmbH

PY - 2021/11

Y1 - 2021/11

N2 - We consider a Sturm–Liouville operator with an integrable potential q on the unit interval (Formula presented.). We consider a Schrödinger operator with a real compactly supported potential on the half line and on the line, where this potential coincides with q on the unit interval and vanishes outside I. We determine the relationships between eigenvalues of such operators and obtain estimates of eigenvalues in terms of potentials.

AB - We consider a Sturm–Liouville operator with an integrable potential q on the unit interval (Formula presented.). We consider a Schrödinger operator with a real compactly supported potential on the half line and on the line, where this potential coincides with q on the unit interval and vanishes outside I. We determine the relationships between eigenvalues of such operators and obtain estimates of eigenvalues in terms of potentials.

UR - http://www.scopus.com/inward/record.url?scp=85121359617&partnerID=8YFLogxK

U2 - 10.1002/mana.201900511

DO - 10.1002/mana.201900511

M3 - Article

AN - SCOPUS:85121359617

VL - 294

SP - 2188

EP - 2199

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

SN - 0025-584X

IS - 11

ER -