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Mathematical Analysis of Continuum Mechanics and Industrial Applications IIISome Recent Results on Regularity of the Crack-tip/Crack-front of Mumford–Shah Minimizers

Mathematical Analysis of Continuum Mechanics and Industrial Applications III: Some Recent Results... [In this short note, we would like to present some recent results about the regularity of the crack at the crack-tip/crack-front for the minimizers of the Mumford–Shah functional in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {R}^2$$\end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {R}^3$$\end{document}. The proofs can be found in [6, 25, 27].] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematical Analysis of Continuum Mechanics and Industrial Applications IIISome Recent Results on Regularity of the Crack-tip/Crack-front of Mumford–Shah Minimizers

Part of the Mathematics for Industry Book Series (volume 34)
Editors: Itou, Hiromichi; Hirano, Shiro; Kimura, Masato; Kovtunenko, Victor A.; Khludnev, Alexandr M.
Mikayelyan, Hayk
Mathematical Analysis of Continuum Mechanics and Industrial Applications III — Aug 30, 2020
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Publisher
Springer Singapore
Copyright
© Springer Nature Singapore Pte Ltd. 2020
ISBN
978-981-15-6061-3
Pages
23 –33
DOI
10.1007/978-981-15-6062-0_2
Publisher site
See Chapter on Publisher Site

Abstract

[In this short note, we would like to present some recent results about the regularity of the crack at the crack-tip/crack-front for the minimizers of the Mumford–Shah functional in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {R}^2$$\end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {R}^3$$\end{document}. The proofs can be found in [6, 25, 27].]

Published: Aug 30, 2020

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