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In this paper, we consider a Cauchy problem for a first-order hyperbolic equation with time-dependent coefficients. Cauchy data are given on a lateral subboundary and we obtain local Hölder stabilities for inverse source and coefficient problems via a Carleman estimate.

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Local Hölder Stabilities for Inverse Problems of First-Order Hyperbolic Equations

  • 会议论文

  • 发表日期：

    2025年

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  • Giuseppe Floridia,
  • Hiroshi Takase

摘要

In this paper, we consider a Cauchy problem for a first-order hyperbolic equation with time-dependent coefficients. Cauchy data are given on a lateral subboundary and we obtain local Hölder stabilities for inverse source and coefficient problems via a Carleman estimate.