English

An Indefinite Convection-Diffusion Operator With Real Spectrum

Spectral Theory 2007-11-12 v1 Classical Analysis and ODEs

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.

Keywords

Cite

@article{arxiv.0711.1371,
  title  = {An Indefinite Convection-Diffusion Operator With Real Spectrum},
  author = {John Weir},
  journal= {arXiv preprint arXiv:0711.1371},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-06-21T09:41:31.944Z