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<p>We investigate local regularity properties of weak solutions to a broad class of nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations. In particular, we focus on proving an interpolative apriori boundedness estimate for weak subsolutions in terms of a tail term encoding the nonlocal contributions of the diffusion.</p>

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Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月27日

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  • Francesca Anceschi,
  • Mirco Piccinini

摘要

We investigate local regularity properties of weak solutions to a broad class of nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations. In particular, we focus on proving an interpolative apriori boundedness estimate for weak subsolutions in terms of a tail term encoding the nonlocal contributions of the diffusion.