Trace and inverse trace of Steklov eigenvalues
Yongjie Shi, Chengjie Yu
TL;DR
This paper presents new estimates for the trace and inverse trace of Steklov eigenvalues, extending previous results in spectral geometry and providing refined bounds for these eigenvalues.
Contribution
The paper introduces generalized estimates for Steklov eigenvalues' trace and inverse trace, broadening the scope of earlier bounds by Hersch-Payne-Schiffer, Brock, Raulot-Savo, and Dittmar.
Findings
New bounds for Steklov eigenvalues trace and inverse trace
Generalization of previous spectral estimates
Improved inequalities for eigenvalue sums
Abstract
In this paper, we obtain some new estimates for the trace and inverse trace of Steklov eigenvalues. The estimates generalize some previous results of Hersch-Payne-Schiffer , Brock}, Raulot-Savo and Dittmar.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Graph theory and applications · Matrix Theory and Algorithms