Integrality of varifolds in the singular limit of reaction-diffusion equations

被引用文献1件
  • TONEGAWA Y.
    Department of Mathematics, Faculty of Science, Hokkaido University

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説明

We answer a question posed by Ilmanen on the integrality of varifolds which appear as the singularperturbation limit of the Allen-Cahn equation. We show that the density of the limit measure isinteger multiple of the surface constant almost everywhere at almostall time. This shows that limit measures obtained via the Allen-Chanequation and those via Brakke's construction share the same integralityproperty as well as being weak solutions for the mean curvature flow equation.

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詳細情報 詳細情報について

  • CRID
    1573105976628478720
  • NII論文ID
    110000016493
  • NII書誌ID
    AA00664323
  • ISSN
    00182079
  • 本文言語コード
    en
  • データソース種別
    • CiNii Articles

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