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Free Discontinuity Problems

โœ Scribed by Nicola Fusco, Aldo Pratelli (eds.)

Publisher
SCUOLA NORMALE SUPERIORE;Edizioni della Normale;Scuola Normale Super. Pisa
Year
2016
Tongue
English
Leaves
237
Series
Publications of the Scuola Normale Superiore
Edition
1st ed.
Category
Library
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โœฆ Synopsis

This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock copolymers.

โœฆ Table of Contents

Front Matter....Pages i-ix
Fine regularity results for Mumford-Shah minimizers: porosity, higher integrability and the Mumford-Shah conjecture....Pages 1-68
Variational models for epitaxial growth....Pages 69-152
Local and global minimality results for an isoperimetric problem with long-range interactions....Pages 153-224
Back Matter....Pages 225-227

๐Ÿ“œ SIMILAR VOLUMES

Free Discontinuity Problems
๐Ÿ“ Free Discontinuity Problems
โœ Nicola Fusco, Aldo Pratelli (eds.) ๐Ÿ“‚ Library ๐Ÿ“… 2016 ๐Ÿ› Edizioni della Normale ๐ŸŒ English

<p><p>This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation

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โœ Andrea Braides (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1998 ๐Ÿ› Springer-Verlag Berlin Heidelberg ๐ŸŒ English

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โœ Braides A., Dold A. (Ed), Takens F. (Ed) ๐Ÿ“‚ Library ๐Ÿ“… 1998 ๐ŸŒ English

Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (u