Functions of Bounded Variation and Free Discontinuity Problems

Luigi Ambrosio

ISBN 10: 0198502451 / ISBN 13: 9780198502456

Published by Oxford University Press Mai 2000, 2000

About this Item

Neuware - This book deals with a class of mathematical problems which involve the minimization of the sum of a volume and a surface energy and have lately been referred to as 'free discontinuity problems'. The aim of this book is twofold: The first three chapters present all the basic prerequisites forthe treatment of free discontinuity and other variational problems in a systematic, general, and self-contained way. In the later chapters, the reader is introduced to the theory of free discontinuity problems, to the space of special functions of bounded variation, and is presented with a detailedanalysis of the Mumford-Shah image segmentation problem. Existence, regularity and qualitative properties of solutions are explained and a survey is given on the current knowledge of this challenging mathematical problem. The theory embodies classical problems, e.g. related to phase transitions, orfracture and plasticity in continuum mechanics, as well as more recent ones like edge detection in image analysis. This book provides the reader with a solid introduction to the field, written by principle contributors to the theory. Seller Inventory # 9780198502456

Bibliographic Details

Title: Functions of Bounded Variation and Free ...

Publisher: Oxford University Press Mai 2000

Publication Date: 2000

Binding: Buch

Condition: Neu

About this title

Synopsis:

This book deals with a class of mathematical problems which involve the minimization of the sum of a volume and a surface energy and have lately been referred to as 'free discontinuity problems'. The aim of this book is twofold: The first three chapters present all the basic prerequisites for the treatment of free discontinuity and other variational problems in a systematic, general, and self-contained way. In the later chapters,...

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