Free Discontinuity Problems

• Corporate Author: SpringerLink (Online service)
• Other Authors: Fusco, Nicola (Editor), Pratelli, Aldo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2016.
• Series: Publications of the Scuola Normale Superiore ; 19
• Subjects: Mathematics.; Partial differential equations.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Partial Differential Equations.

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 dyb...

Table of Contents:

• 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. .