Description

Book 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
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.

Free Discontinuity Problems

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A Paperback / softback by Nicola Fusco, Aldo Pratelli

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    View other formats and editions of Free Discontinuity Problems by Nicola Fusco

    Publisher: Birkhauser Verlag AG
    Publication Date: 02/03/2017
    ISBN13: 9788876425929, 978-8876425929
    ISBN10: 8876425926
    Also in:
    Calculus of variations Differential calculus and equations Optimization

    Description

    Book 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
    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.

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