Free Discontinuity Problems

2016. Auflage 2017
ISBN: 978-88-7642-592-9
Verlag: Scuola Normale Superiore

Buch, Englisch, Band 19, Book, Format (B × H): 151 mm x 238 mm, Gewicht: 474 g

Reihe: Publications of the Scuola Normale Superiore

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.

Zielgruppe

Research

Autoren/Hrsg.

Fusco, Nicola

Pratelli, Aldo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.