Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator

DOI10.1007/s11868-022-00447-wzbMath1494.35125OpenAlexW4220927322WikidataQ115601852 ScholiaQ115601852MaRDI QIDQ2154550

Yuan Zhao, Lin Tang

Publication date: 19 July 2022

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-022-00447-w

zbMATH Keywords

Schrödinger operatorseigenvalue asymptotics

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) A priori estimates in context of PDEs (35B45) Higher-order elliptic equations (35J30)

Related Items (1)

Spectral asymptotics for generalized Schrödinger operators

Cites Work

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• On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers
• Decay at infinity of eigenfunctions of Schrödinger operators with polynomial electro-magnetic field
• \(L^p\) estimates for some Schrödinger type operators and a Calderón-Zygmund operator of Schrödinger type
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields
• L ^p Spectral Theory of Higher-Order Elliptic Differential Operators
• Lieb–Thirring inequalities for higher order differential operators

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