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<p>We establish unique continuation properties and convexity properties for the Schrödinger equations associated with the Bessel and Hermite operators. These results are motivated by the Hardy’s uncertainty principle for the Hankel and Fourier transforms, and characterize functions with Gaussian decay and their evolution under the associated dynamics.</p>

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Convexity Properties of Solutions to Schrödinger Equations Associated with the Bessel and Hermite Operators

  • 期刊论文

  • 发表日期：

    2025年8月5日

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  • Hui Xu,
  • Longben Wei,
  • Zhiwen Duan

摘要

We establish unique continuation properties and convexity properties for the Schrödinger equations associated with the Bessel and Hermite operators. These results are motivated by the Hardy’s uncertainty principle for the Hankel and Fourier transforms, and characterize functions with Gaussian decay and their evolution under the associated dynamics.