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<p>This paper aims to investigate a non-degenerate Schrödinger equation with fractional integral type dynamic boundary control. We focus on establishing the well-posedness of the system by employing semigroup theory. Additionally, we apply the Borichev-Tomilov (Math. Ann. 301 347(2):455–478, 2010) theorem to demonstrate the existence of polynomial decay, which occurs in the absence of exponential stability.</p>

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Decay of solutions to a non-degenerate Schrödinger equation with a dynamic boundary of fractional integral type

  • 期刊论文

  • 发表日期：

    2025年3月10日

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  • Hallouz Abd Elhamid

摘要

This paper aims to investigate a non-degenerate Schrödinger equation with fractional integral type dynamic boundary control. We focus on establishing the well-posedness of the system by employing semigroup theory. Additionally, we apply the Borichev-Tomilov (Math. Ann. 301 347(2):455–478, 2010) theorem to demonstrate the existence of polynomial decay, which occurs in the absence of exponential stability.