REPRESENTATION OF THE SPECTRAL SHIFT FUNCTION AND SPECTRAL ASYMPTOTICS FOR TRAPPING PERTURBATIONS

DOI10.1081/PDE-100107816zbMath1088.35525MaRDI QIDQ2777575

Vesselin Petkov, Vincent Bruneau

Publication date: 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Scattering theory of linear operators (47A40)

Related Items (9)

Spectral asymptotics for the Schrödinger operator with a non-decaying potential ⋮ Meromorphic continuation of the spectral shift function ⋮ Eigenvalues of the reference operator and semiclassical resonances ⋮ Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. ⋮ RESONANCES AND SPECTRAL SHIFT FUNCTION FOR THE SEMI-CLASSICAL DIRAC OPERATOR ⋮ Trace formula for resonances in small domains ⋮ SEMICLASSICAL ANALYSIS FOR SPECTRAL SHIFT FUNCTIONS IN MAGNETIC SCATTERING BY TWO SOLENOIDAL FIELDS ⋮ Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators ⋮ A local trace formula for resonances of perturbed periodic Schrödinger operators.

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