Name: Functions of Bounded Variation and Free Discontinuity Problems (en Inglés)
SKU: 18974829
Price: 494.04 USD
Availability: InStock
Author: Luigi Ambrosio; Nicola Fusco; Diego Pallara

portada Functions of Bounded Variation and Free Discontinuity Problems (en Inglés)

Functions of Bounded Variation and Free Discontinuity Problems (en Inglés)

Formato

Libro Físico

Editorial

Oxford University Press

Autor

Luigi Ambrosio; Nicola Fusco; Diego Pallara

Año

2000

Idioma

Inglés

N° páginas

456

Encuadernación

Tapa Dura

ISBN

0198502451

ISBN13

9780198502456

N° edición

Categorías

Matemáticas aplicadas

Functions of Bounded Variation and Free Discontinuity Problems (en Inglés)

Luigi Ambrosio; Nicola Fusco; Diego Pallara (Autor) · Oxford University Press · Tapa Dura

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Reseña del libro "Functions of Bounded Variation and Free Discontinuity Problems (en Inglés)"

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, 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. 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.