Free Discontinuity Problems [electronic resource] /
Fusco, Nicola.editor.
Pratelli, Aldo.editor.
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.
Includes bibliographical references at the end of each chapters.
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. .
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.
Calculus of variations.
Partial differential equations.
Calculus of Variations and Optimal Control; Optimization.
Partial Differential Equations.