An Indefinite Convection-Diffusion Operator With Real Spectrum

2007/11/08 by John Weir, Weir, John · 2 citations
Computer Science · Mathematics · #34B24 #34Lxx #76Rxx #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #math.CA #math.SP #msc:34B24 #msc:34Lxx #msc:76Rxx

paper · pdf · doi:10.48550/arxiv.0711.1371

5 pages

arxiv created 2007/11/08 · openalex publication_date 2007/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We confirm rigorously the conjecture, based on numerical and asymptotic evidence, that all the eigenvalues of a certain non-self-adjoint operator are real.

Cited by

• On Factorization of a Perturbation of a J-selfadjoint Operator Arising in Fluid Dynamics
• On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities

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