Sharp Spectral Inequalities for Fourth Order Differential Operators on Semi-Axis

In this paper we consider fourth order differential operators on semi-axis with Robin type boundary condition at zero. Using the commutation method we obtain sharp Lieb-Thirring inequalities for the negative eigenvalues of double multiplicity.

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Bibliographic Details
Published inMathematical physics, analysis, and geometry Vol. 22; no. 4; pp. 1 - 13
Main Authors Zia, Muhammad Danish, Usman, Muhammad
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.12.2019
Springer Nature B.V
Subjects
Analysis
Applications of Mathematics
Boundary conditions
Commutation
Differential equations
Eigenvalues
Geometry
Group Theory and Generalizations
Inequalities
Mathematical and Computational Physics
Operators (mathematics)
Physics
Physics and Astronomy
Theoretical
Lieb-Thirring inequalities
Fourth order operators
Commutation method
Secondary: 81Q10
Primary: 35P15
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Summary:In this paper we consider fourth order differential operators on semi-axis with Robin type boundary condition at zero. Using the commutation method we obtain sharp Lieb-Thirring inequalities for the negative eigenvalues of double multiplicity.
ISSN:1385-0172
1572-9656
DOI:10.1007/s11040-019-9321-9