Semiclassical spectral instability for non-self-adjoint operators. I: A model

DOI10.5802/afst.1121zbMath1131.34057OpenAlexW4381466388MaRDI QIDQ5919888

Mildred Hager

Publication date: 1 August 2007

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10049

zbMATH Keywords

non-selfadjoint operatorssemi-classical pseudospectrumsemi-classical symbol

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Perturbations of ordinary differential equations (34D10)

Related Items (12)

Interior Eigenvalue Density of Jordan Matrices with Random Perturbations ⋮ Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations ⋮ Counting zeros of holomorphic functions of exponential growth ⋮ A probabilistic Weyl-law for perturbed Berezin-Toeplitz operators ⋮ Almost sure Weyl law for quantized tori ⋮ Almost sure Weyl law for a differential system in dimension 1 ⋮ Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations ⋮ Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators ⋮ The precise shape of the eigenvalue intensity for a class of non-self-adjoint operators under random perturbations ⋮ Two point eigenvalue correlation for a class of non-selfadjoint operators under random perturbations ⋮ Local eigenvalue statistics of one-dimensional random nonselfadjoint pseudodifferential operators ⋮ Pseudospectrum and binary black hole merger transients

Cites Work

• Semi-classical states for non-self-adjoint Schrödinger operators
• Numerical linear algebra and solvability of partial differential equations
• A remark on a paper of E. B. Davies
• Pseudospectra of Linear Operators
• Pseudospectra of semiclassical (pseudo-) differential operators
• Pseudospectra of the Orr–Sommerfeld Operator
• Wave packet pseudomodes of variable coefficient differential operators
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Resonance expansions in semi-classical propagation.
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