Asymptotic behavior of spectral functions for elliptic operators with non-smooth coefficients

DOI10.1016/j.jfa.2003.12.003zbMath1066.35065OpenAlexW1999548711MaRDI QIDQ1883423

Yoichi Miyazaki

Publication date: 12 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.12.003

zbMATH Keywords

asymptotic formula\(L^{p}\) theory\(L^{p}\) resolventselfadjoint strongly elliptic operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Higher-order elliptic equations (35J30)

Related Items (3)

Spectral asymptotics for Dirichlet elliptic operators with non-smooth coefficients ⋮ The \(L^p\) theory of divergence form elliptic operators under the Dirichlet condition ⋮ The \(L^p\) resolvents of second-order elliptic operators of divergence form under the Dirichlet condition

Cites Work

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• Zur Abschätzung der Spektralfunktion elliptischer Operatoren. (On the estimation of the spectral function of elliptic operators)
• On the remainder estimates of asymptotic formulas for eigenvalues of operators associated with strongly elliptic sesquilinear forms
• On the asymptotic remainder estimate for the eigenvalues of operators associated with strongly elliptic sesquilinear forms
• The eigenvalue distribution of elliptic operators with Hölder continuous coefficients
• A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of \(R^3\)
• The eigenvalue distribution of elliptic operators with Hölder continuous coefficients. II
• Asymptotic behavior of spectral functions of elliptic operators with Hölder continuous coefficients
• On Besov spaces and Sobolev spaces of generalized functions defined on a general region
• The \(L ^{p}\) resolvents of elliptic operators with uniformly continuous coefficients.
• Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients
• On a theorem by P. Malliavin
• On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators
• Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators
• The spectral function of an elliptic operator
• Asymptotic behavior of the Green's functions and spectral function of an elliptic operator
• On the asymptotic distribution of eigenvalues of operators associated with strongly elliptic sesquilinear forms
• Asymptotic distribution of eigenvalues of non-symmetric operators associated with strongly elliptic sesquilinear forms
• Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients–-Part 2
• An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
• Meillieurs estimations asymptotiques des restes de la fonctionn spectrale et des valeurs propres relatifs au laplacien.

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