Asymptotics of the spectral function of an elliptic differential operator of second order

DOI10.1007/BF01085030zbMath0495.35068WikidataQ125287849 ScholiaQ125287849MaRDI QIDQ1169617

Yaroslav Kurylev

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptoticseigenvaluesspectral functionRiesz meanssecond order elliptic boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

• Zur Abschätzung der Spektralfunktion elliptischer Operatoren. (On the estimation of the spectral function of elliptic operators)
• Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten
• Problem of focusing and the asymptotics of the spectral function of the Laplace-Beltrami operator. I
• The spectrum of positive elliptic operators and periodic bicharacteristics
• A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of \(R^3\)
• Über die asymptotische Verteilung der Eigenwerte des Laplace-Operators für Gebiete auf der Kugeloberfläche
• Removal of the log factor in the asymptotic estimates of polygonal membrane eigenvalues
• The spectral function of an elliptic operator
• The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems
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