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<p>In this paper, by applying the properties of the kernel function of sub-Laplace operators, we study the fractional Leibniz rules for bilinear and biparameter spectral multipliers on the product space of Carnot groups. Then we take a system of PDEs as an example to show its application in proving the scattering problem of differential equations.</p>

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The fractional Leibniz rules on the product space of Carnot groups

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Jingxuan Fang,
  • Hongbo Li,
  • Jiman Zhao

摘要

In this paper, by applying the properties of the kernel function of sub-Laplace operators, we study the fractional Leibniz rules for bilinear and biparameter spectral multipliers on the product space of Carnot groups. Then we take a system of PDEs as an example to show its application in proving the scattering problem of differential equations.