Functions of Bounded Variation and Free Discontinuity Problems

— —

Luigi Ambrosio (Professor, Professor, Scuola Normale Superiore, Pisa) Nicola Fusco (Professor, Professor, Department of Mathematics, Universita di Firenze)

Functions of Bounded Variation and Free Discontinuity Problems

Luigi Ambrosio (Professor, Professor, Scuola Normale Superiore, Pisa), Nicola Fusco (Professor, Professor, Department of Mathematics, Universita di Firenze), Diego Pallara (Professor, Professor, Department of Mathematics, Universita di Lecce)

$595

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Oxford University Press
01 June 2000

Functional analysis & transforms; Calculus of variations; Applied mathematics

Series: Oxford Mathematical Monographs

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 refered 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, 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 detailed analysis 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.

Free discontinuity problems reveal a wide range of applications. The theory embodies classical problems, e.g. related to phase transitions, or fracture 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. The first half of the book contains a comprehensive and updated treatment of the theory of Functions of Bounded Variation and of the mathematical prerequisites of that theory, that is Abstract Measure Theory and Geometric Measure Theory.

By: Luigi Ambrosio (Professor Professor Scuola Normale Superiore Pisa), Nicola Fusco (Professor, Professor, Department of Mathematics, Universita di Firenze), Diego Pallara (Professor, Professor, Department of Mathematics, Universita di Lecce)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 242mm, Width: 162mm, Spine: 29mm
Weight: 1g
ISBN: 9780198502456
ISBN 10: 0198502451
Series: Oxford Mathematical Monographs
Pages: 452
Publication Date: 01 June 2000
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Functions of Bounded Variation and Free Discontinuity Problems

an excellent account of the theory of BV functions. It should serve as a standard reference, especially for the BV theory, for years to come. Bulletin of the London Mathematical Society