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<p>In this paper we study a heat type equation associated to the curve shortening flow in the plane. We show the solutions become infinitely many times differentiable for a short time. The method of proof is to use the maximum principle following the Bernstein technique.</p>

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On a Heat Type Equation Associated to the Curve Shortening Flow

  • 期刊论文

  • 发表日期：

    2025年1月24日

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  • Hongxin Guo,
  • Xiuna Wu

摘要

In this paper we study a heat type equation associated to the curve shortening flow in the plane. We show the solutions become infinitely many times differentiable for a short time. The method of proof is to use the maximum principle following the Bernstein technique.