Commutator bounds for eigenvalues, with applications to spectralgeometry

DOI10.1080/03605309408821081zbMath0815.35078OpenAlexW2043377301MaRDI QIDQ4313777

Patricia L. Michel, Evans M. II. Harrell

Publication date: 29 November 1994

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309408821081

zbMATH Keywords

Laplace-Beltrami operatorHile-Protter inequalityupper bounds on eigenvalue differences

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Spectral theory; eigenvalue problems on manifolds (58C40)

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Cites Work

• Eigenvalue estimates on homogeneous manifolds
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators
• Some geometric bounds on eigenvalue gaps
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