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

IF 1.5 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2026-03-27 DOI:10.1134/S1061920825601193

A.A. Bobylev

引用次数: 0

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.

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泛函梯度弹性层的Poincar - \(\acute{\text{e}}\) -Steklov算子传递函数的渐近性

我们考虑了一个功能梯度弹性层三维边值问题的poincar - steklov算子，该算子将法向应力映射为部分边界上的法向位移。对于较大的傅里叶变换参数，得到了该算子传递函数的三项渐近展开式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.