Free Discontinuity Problems

✍ Scribed by Nicola Fusco, Aldo Pratelli (eds.)

• Publisher: Edizioni della Normale
• Year: 2016
• Tongue: English
• Leaves: 237
• Series: Publications of the Scuola Normale Superiore 19
• Edition: 1
• Category: Library

✦ 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.

✦ 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

✦ Subjects

Calculus of Variations and Optimal Control; Optimization;Partial Differential Equations