Spectral asymptotics for the fourth-order operator with periodic coefficients

2022/02/08 by D. M. Polyakov, Polyakov, Dmitry M.
Computer Science · Mathematics · #47A10 #47A75 #65L10 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2202.03764

openalex publication_date 2022/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the self-adjoint fourth-order operator with real 1-periodic coefficients on the unit interval. The spectrum of this operator is discrete. We determine the high energy asymptotics for its eigenvalues.

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