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arXiv · 2110.15947

A new approach to the inverse discrete transmission eigenvalue problem

Natalia P. Bondarenko·Vjacheslav A. Yurko
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Abstract

A discrete analog is considered for the inverse transmission eigenvalue problem, having applications in acoustics. We provide a well-posed inverse problem statement, develop a constructive procedure for solving this problem, prove uniqueness of solution, global solvability, local solvability, and stability. Our approach is based on the reduction of the discrete transmission eigenvalue problem to a linear system with polynomials of the spectral parameter in the boundary condition.

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Natalia P. Bondarenko, Vjacheslav A. Yurko. 2021-10-29. A new approach to the inverse discrete transmission eigenvalue problem. https://arxiv.org/abs/2110.15947

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