Asymptotics of the Spectrum of Douglis - Nirenberg Elliptic Operators on a Compact Manifold

DOI10.1002/mana.19961820112zbMath0864.35079OpenAlexW1963565675MaRDI QIDQ4715535

Alexander Kozhevnikov

Publication date: 15 June 1997

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19961820112

zbMATH Keywords

similarity transformationpseudo-differential systemssharp estimate of the remainder

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items

On the resolvent arising in a parameter-elliptic multi-order boundary problem ⋮ Multi-weighted parabolic equations and systems ⋮ Eigenvalue asymptotics for the non-selfadjoint operator induced by a parameter-elliptic multi-order boundary problem ⋮ On the maximal \(L _{p }\)-regularity of parabolic mixed-order systems ⋮ BoundedH_∞-calculus for pseudo-differential Douglis-Nirenberg systems of mild regularity ⋮ Inhomogeneous symbols, the Newton polygon, and maximal \(L^p\)-regularity ⋮ Boundary-value problems for a class of elliptic operator pencils

Cites Work

• Unnamed Item
• Functional calculus of pseudo-differential boundary problems
• Asymptotic behavior of spectra of operators which are close to normal
• Remainder estimates for eigenvalues and kernels of pseudo-differential elliptic systems.

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