Higher Integrability for Minimizers of the Mumford-Shah Functional

Guido de Philippis; Alessio Figalli

doi:10.1007/s00205-014-0729-x

Higher Integrability for Minimizers of the Mumford-Shah Functional

Guido de Philippis, Alessio Figalli

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	491-502
Number of pages	12
Journal	Archive for Rational Mechanics and Analysis
Volume	213
Issue number	2
DOIs	https://doi.org/10.1007/s00205-014-0729-x
State	Published - Aug 2014

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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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).",

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Higher Integrability for Minimizers of the Mumford-Shah Functional

Abstract

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