Published April 30, 2013 | Version v1
Journal article Metadata-only

Lower bounds for sums of eigenvalues of elliptic operators and systems

Creators

Description

Two-term lower bounds of Berzin-Li-Yau type are obtained for the sums of eigenvalues of elliptic operators and systems with constant coefficients and Dirichlet boundary conditions. The polyharmonic operator, the Stokes system and its generalizations, the two-dimensional buckling problem, and also the Klein-Gordon operator are considered. Bibliography: 32 titles.

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2013v204n04ABEH004312

Additional details

Identifiers

DOI
10.1070/SM2013v204n04ABEH004312;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
204
Journal Issue
4
Journal Page Range
p. 563-587
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44122301
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
BOUNDARY CONDITIONS; DIRICHLET PROBLEM; EIGENVALUES; KLEIN-GORDON EQUATION; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
BOUNDARY-VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS