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This chapter deals with an inverse boundary value problem arising from scalar wave equation in anisotropic media. We reconstruct small perturbations of the anisotropic conductivity from partial dynamic boundary data, for finite interval in time. By using a control method, we provide a rigorous asymptotic derivation of the perturbations in the coefficient as the leading order of an appropriate averaging of the partial dynamic boundary data.

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An Inverse Problem for the Wave Equation in Anisotropic Media

  • 会议论文

  • 发表日期：

    2025年

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  • Houssem Lihiou

摘要

This chapter deals with an inverse boundary value problem arising from scalar wave equation in anisotropic media. We reconstruct small perturbations of the anisotropic conductivity from partial dynamic boundary data, for finite interval in time. By using a control method, we provide a rigorous asymptotic derivation of the perturbations in the coefficient as the leading order of an appropriate averaging of the partial dynamic boundary data.