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.
Table of Content
Introduction.- Fine regularity results for Mumford-Shah minimizers: porosity, higher integrability and the Mumford-Shah conjecture.- Variational models for epitaxial growth.- Local and global minimality results for an isoperimetric problem with long-range interactions.
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Language English ● Format PDF ● Pages 227 ● ISBN 9788876425936 ● File size 1.6 MB ● Editor Nicola Fusco & Aldo Pratelli ● Publisher Scuola Normale Superiore ● City Pisa ● Country CH ● Published 2017 ● Downloadable 24 months ● Currency EUR ● ID 5049430 ● Copy protection Social DRM