Free Discontinuity Problems

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.

List 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.

Product details

• Assisted by: Nicol Fusco (Editor), Nicola Fusco (Editor), PRATELLI (Editor), Pratelli (Editor), Aldo Pratelli (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 31.03.2017
• EAN: 9788876425929
• ISBN: 978-88-7642-592-9
• Dimensions: 151 mm x 240 mm x 18 mm
• Weight: 473 g
• Illustrations: Literaturverz.
• Series: Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore); Publications of the Scuola Normale Superiore; CRM Series; Publications of the Scuola Nor; Publications of the Scuola Normale Superiore; Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore); CRM Series
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous