Eigenvalues of an elliptic system

DOI10.1007/s00209-002-0464-0zbMath1032.34078arXivmath/0108063OpenAlexW2030805562MaRDI QIDQ1395395

E. Brian Davies

Publication date: 1 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0108063

zbMATH Keywords

piecewise constant coefficientsasymptotic of eigenvaluesspectral counting functionnonselfadjoint elliptic system

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (10)

A localization criterion for the eigenvalues of a spectrally unstable operator ⋮ Localization criterion for the spectrum of the Sturm–Liouville operator on a curve ⋮ Counting zeros of holomorphic functions of exponential growth ⋮ Spectral properties of the nonsectorial Sturm-Liouville operator on the semiaxis ⋮ On the Davies formula for the distribution of eigenvalues of a non-self-adjoint differential operator ⋮ On the Birkhoff-Tamarkin-Langer conditions and a conjecture of Davies ⋮ Conditions for localization of the limit spectrum of a model operator associated with the Orr-Sommerfeld equation ⋮ Conditions of spectrum localization for operators not close to self-adjoint operators ⋮ Eigenfunctions of periodic differential operators analytic in a strip ⋮ On the localization conditions for the spectrum of a non-self-adjoint Sturm-Liouville operator with slowly growing potential

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