Have one to sell?
Functions of Bounded Variation and Free Discontinuity Problems (Oxford Mathematical Monographs) Hardcover – 23 Mar 2000
See all 2 formats and editions Hide other formats and editions
Note: This item is eligible for click and collect. Details
Pick up your parcel at a time and place that suits you.
- Choose from over 13,000 locations across the UK
- Prime members get unlimited deliveries at no additional cost
- Find your preferred location and add it to your address book
- Dispatch to this address when you check out
This shopping feature will continue to load items. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading.
Customers who bought this item also bought
Page 1 of 1 Start overPage 1 of 1
Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
To get the free app, enter your mobile phone number.
Would you like to tell us about a lower price?
If you are a seller for this product, would you like to suggest updates through seller support?
... 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)
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.
There are no customer reviews yet.
|5 star (0%)|
|4 star (0%)|
|3 star (0%)|
|2 star (0%)|
|1 star (0%)|
Most helpful customer reviews on Amazon.com
Amazon.com: 2 reviews
Excellent book for research purposes
19 March 2014 - Published on Amazon.com
4 people found this helpful.
I used this book (specifically Chapter 3) as a reference when writing my dissertation. It is much clearer than other books treating BV functions, such as Ziemer's _Weakly Differentiable Functions_ or the book by Vol'pert and Hudjaev. It is also missing some of the errors found in the latter book. All in all, I found this the perfect book to fill all the gaps left by the other books mentioned, and its clarity and organizational structure are excellent.
Survey on BV theory in Euclidean setting
14 October 2016 - Published on Amazon.com
One person found this helpful.
This book gives a comprehensive survey on functions of bounded variation in the Euclidean setting, with attention paid to the measure theoretic aspects of sets of finite perimeter and BV energy.