Free Discontinuity Problems
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Description
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. 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
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