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Free Discontinuity Problems / edited by Nicola Fusco, Aldo Pratelli.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Series:
- CRM Series, 2532-3326 ; 19
- Language:
- English
- Subjects (All):
- Mathematical optimization.
- Calculus of variations.
- Differential equations.
- Calculus of Variations and Optimization.
- Differential Equations.
- Local Subjects:
- Calculus of Variations and Optimization.
- Differential Equations.
- Physical Description:
- 1 online resource (237 pages).
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2016.
- Summary:
- 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.
- 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. .
- Notes:
- Includes bibliographical references at the end of each chapters.
- ISBN:
- 88-7642-593-4
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