Asymptotic expansion of transfer function for a Poincaré–Steklov operator in an elastic layer suggests new insights into boundary-value problems.
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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A. A. Bobylev (2026) studied this question.
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