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<p>In this paper, we study non-autonomous parabolic equations with a time-dependent diffusion term. We introduce a splitting method that allows us to obtain theoretical results. As an application, we use the method to prove well-posedness of the fractional non-linear heat equation, with superlinear growth.</p>

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Multiple splitting for non-autonomous parabolic equations

  • 期刊论文

  • 发表日期：

    2025年7月28日

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  • Agustín Besteiro,
  • Diego Rial

摘要

In this paper, we study non-autonomous parabolic equations with a time-dependent diffusion term. We introduce a splitting method that allows us to obtain theoretical results. As an application, we use the method to prove well-posedness of the fractional non-linear heat equation, with superlinear growth.