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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 dyb...

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Corporate Author: SpringerLink (Online service)
Other Authors: Fusco, Nicola. (Editor, http://id.loc.gov/vocabulary/relators/edt), Pratelli, Aldo. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2016.
Edition:1st ed. 2016.
Series:CRM Series, 19
Subjects:
Calculus of variations.
Partial differential equations.
Calculus of Variations and Optimal Control; Optimization.
Partial Differential Equations.
Online Access:https://doi.org/10.1007/978-88-7642-593-6
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505 0 |a 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. . 
520 |a 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. 
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