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Bibliographic Details
Main Authors: Kumar, Nitesh, Sarkar, Tanmay, Vashisth, Manmohan
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.01913
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Table of Contents:
  • 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.