Lower bounds for sums of eigenvalues of elliptic operators and systems

A. A. Ilyin

Sbornik. Mathematics, Tome 204 (2013) no. 4, pp. 563-587

Résumé

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.

Détail

Keywords: Berezin-Li-Yau inequalities, Stokes operator, polyharmonic operator, buckling problem.

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