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Long time existence of Minimizing Movement solutions of Calabi flow

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 نشر من قبل Jeffrey Streets
 تاريخ النشر 2012
  مجال البحث
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 تأليف Jeff Streets




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We recast the Calabi flow in DeGiorgis language of minimizing movements. We establish the long time existence of minimizing movements for K-energy with arbitrary initial condition. Furthermore we establish some a priori regularity of these solutions, and that sufficiently regular minimizing movements are smooth solutions to Calabi flow.



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