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Abstract <p> We consider the Poincaré–Steklov operator for a three-dimensional boundary-value problem for a functionally graded elastic layer, which maps normal stresses into normal displacements on a part of the boundary. A three-term asymptotic expansion of the transfer function of this operator is obtained for large values of the Fourier transform parameters. </p>

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Asymptotics of the Transfer Function of the Poincar\(\acute{\text{e}}\)–Steklov Operator for a Functionally Graded Elastic Layer

  • 期刊论文

  • 发表日期：

    2026年3月27日

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  • A.A. Bobylev

摘要

Abstract

We consider the Poincaré–Steklov operator for a three-dimensional boundary-value problem for a functionally graded elastic layer, which maps normal stresses into normal displacements on a part of the boundary. A three-term asymptotic expansion of the transfer function of this operator is obtained for large values of the Fourier transform parameters.