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A growth estimate for the planar Mumford–Shah minimizers at a tip point: An alternative proof of David–Léger

Year: 2025

Type: article

Abstract: Let \(\Omega\subset \mathbb{R}^2\) be a bounded domain and \(u\in SBV(\Omega)\) be a local minimizer of the Mumford–Shah problem in the plane, with \(0\in \overline{S}_u\) being a tip point and \(B_1\subset \Omega\). Then there exist absolute constants \(C>0\) and \(0

Source: Annales Fennici Mathematici

DOI: 10.54330/afm.160044

Author: Yi Ru-Ya Zhang

Institutions: Chinese Academy of Sciences, Academy of Mathematics and Systems Science

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408849637

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