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<p>In this article, an inverse problem of determining the damping coefficient appearing in a wave equation is studied. We prove that the time-derivative perturbation of wave operator in three space dimension can be recovered uniquely from the data coming from a single coincident source-receiver pair. Since the problem under consideration is under-determined, so some extra assumption on the coefficient is required to prove the uniqueness.</p>

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Unique determination of the damping coefficient in the wave equation using point source and receiver data

  • 期刊论文

  • 发表日期：

    2025年3月25日

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  • Manmohan Vashisth

摘要

In this article, an inverse problem of determining the damping coefficient appearing in a wave equation is studied. We prove that the time-derivative perturbation of wave operator in three space dimension can be recovered uniquely from the data coming from a single coincident source-receiver pair. Since the problem under consideration is under-determined, so some extra assumption on the coefficient is required to prove the uniqueness.