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arXiv · 2409.01913

Stable determination of a time-dependent matrix potential for a wave equation in an infinite waveguide

Nitesh Kumar·Tanmay Sarkar·Manmohan Vashisth
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Abstract

We analyze the stability of an inverse problem for determining the time-dependent matrix potential appearing in the Dirichlet initial-boundary value problem for the wave equation in an unbounded cylindrical waveguide. The observation is given by the input-output map associated with the wave equation. Considering a suitable geometric optics solution and with the help of light ray transform, we demonstrate the stability estimate in the determination of the time-dependent matrix potential from the given input-output map.

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Nitesh Kumar, Tanmay Sarkar, Manmohan Vashisth. 2024-09-03. Stable determination of a time-dependent matrix potential for a wave equation in an infinite waveguide. https://arxiv.org/abs/2409.01913

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