A selective review on Mumford–Shah minimizers

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• 作者：Antoine Lemenant
• 刊名：Bollettino dell'Unione Matematica Italiana
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：9
• 期：1
• 页码：69-113
• 全文大小：1,171 KB
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• 作者单位：Antoine Lemenant (1)
  
  1. LJLL CNRS, Université Paris-Diderot, Paris, France
  
• 刊物类别：Mathematics, general;
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：2198-2759

文摘

This is a review paper on the Mumford-Shah functional, with particular interest in blow-up limits, low dimensions (2 and 3), and connection with fracture theory. It includes in particular a sketch proof of the 3D regularity result near minimal cones from my thesis, and a presentation of a few more recent results that appeared in the last two years.