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

被引：2

作者：

Zia, Muhammad Danish ^{[1
]}

Usman, Muhammad ^{[1
]}

机构：

[1] Lahore Univ Management Sci, Dept Math, Lahore, Pakistan

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2019年 / 22卷 / 04期

关键词：

Fourth order operators; Lieb-Thirring inequalities; Commutation method; Primary; Secondary; LIEB-THIRRING INEQUALITIES;

D O I：

10.1007/s11040-019-9321-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：13

共 6 条

[1] Sharp Spectral Inequalities for Fourth Order Differential Operators on Semi-Axis
Muhammad Danish Zia
Muhammad Usman
Mathematical Physics, Analysis and Geometry, 2019, 22
[2] Improved sharp spectral inequalities for Schrodinger operators on the semi-axis
Schimmer, Lukas
JOURNAL OF SPECTRAL THEORY, 2023, 13 (01) : 47 - 62
[3] On Some Sharp Spectral Inequalities for Schrodinger Operators on Semiaxis
Exner, Pavel
Laptev, Ari
Usman, Muhammad
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 326 (02) : 531 - 541
[4] 2-SIDED ESTIMATES ON SINGULAR-VALUES FOR A CLASS OF INTEGRAL-OPERATORS ON THE SEMI-AXIS
NEWMAN, J
SOLOMYAK, M
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1994, 20 (03) : 335 - 349
[5] Critical Hardy–Lieb–Thirring Inequalities for Fourth-Order Operators in Low Dimensions
Tomas Ekholm
Andreas Enblom
Letters in Mathematical Physics, 2010, 94 : 293 - 312
[6] Critical Hardy-Lieb-Thirring Inequalities for Fourth-Order Operators in Low Dimensions
Ekholm, Tomas
Enblom, Andreas
LETTERS IN MATHEMATICAL PHYSICS, 2010, 94 (03) : 293 - 312

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