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Spectral asymptotics for the fourth-order operator with periodic coefficients

Spectral Theory 2022-02-09 v1

Abstract

We consider the self-adjoint fourth-order operator with real 11-periodic coefficients on the unit interval. The spectrum of this operator is discrete. We determine the high energy asymptotics for its eigenvalues.

Keywords

Cite

@article{arxiv.2202.03764,
  title  = {Spectral asymptotics for the fourth-order operator with periodic coefficients},
  author = {Dmitry M. Polyakov},
  journal= {arXiv preprint arXiv:2202.03764},
  year   = {2022}
}

Comments

28 pages

R2 v1 2026-06-24T09:25:53.771Z