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Abstract <p> We obtain a Weyl asymptotic formula for the number of eigenvalues of theZaremba–Steklov operator. The leading term of the asymptotic expression is written out. Theconstruction is based on an estimate of the Green’s function for the Dirichlet problem of thecorresponding parabolic operator, and then the classical Hardy–Littlewood Tauberian theorem isapplied.</p>

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On the Leading Term of the Spectral Asymptotics for the Zaremba–Steklov Operator in a Bounded Domain

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • A. G. Chechkina

摘要

Abstract

We obtain a Weyl asymptotic formula for the number of eigenvalues of theZaremba–Steklov operator. The leading term of the asymptotic expression is written out. Theconstruction is based on an estimate of the Green’s function for the Dirichlet problem of thecorresponding parabolic operator, and then the classical Hardy–Littlewood Tauberian theorem isapplied.