Higher Integrability for Minimizers of the Mumford-Shah Functional

Guido de Philippis, Alessio Figalli

Research output: Contribution to journalArticle

Abstract

We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi (Free discontinuity problems in calculus of variations. Frontiers in pure and applied mathematics, North-Holland, Amsterdam, pp 55-62, 1991).

Original languageEnglish (US)
Pages (from-to)491-502
Number of pages12
JournalArchive for Rational Mechanics and Analysis
Volume213
Issue number2
DOIs
StatePublished - Aug 2014

    Fingerprint

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

Cite this