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<p>We study the high frequency stability estimates for the recovery of the potential function in the linearized inverse Schrödinger problem with constant attenuation from partial data. We assume that part of the boundary is inaccessible and flat. Our estimates suggest an improvement of stability from logarithmic to Lipschitz as the frequency increases.</p>

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High frequency stability estimates for the linearized inverse Schrödinger potential problem with constant attenuation on some bounded domains

  • 期刊论文

  • 发表日期：

    2025年3月29日

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  • Ajith Kumar T

摘要

We study the high frequency stability estimates for the recovery of the potential function in the linearized inverse Schrödinger problem with constant attenuation from partial data. We assume that part of the boundary is inaccessible and flat. Our estimates suggest an improvement of stability from logarithmic to Lipschitz as the frequency increases.