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arXiv · 2607.00656

On the Application of Poincare-Steklov Operators to the Problem of Resonant Scattering in a Cylinder

A. L Delitsyn
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Abstract

The resonant nature of scattering in a waveguide with two barriers is proven in the case of a sufficiently arbitrary deformation of the region between the barriers. The problem is considered as an interior boundary value problem with boundary conditions defined by a Poincare-Steklov operator. A spectral problem is considered whose eigenvalue determines the resonant scattering frequency.

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A. L Delitsyn. 2026-07-01. On the Application of Poincare-Steklov Operators to the Problem of Resonant Scattering in a Cylinder. https://arxiv.org/abs/2607.00656

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