Gamma-convergence for beginners / Andrea Braides.

Format:

Book

Author/Creator:

Braides, Andrea.

Series:

Oxford lecture series in mathematics and its applications ; 22.

Oxford lecture series in mathematics and its applications ; 22

Language:

English

Subjects (All):

Calculus of variations.

Convergence.

Physical Description:

1 online resource (231 p.)

Place of Publication:

Oxford ; New York : Oxford University Press, 2002.

Language Note:

English

Summary:

This is a handbook of Gamma-convergence, which is a theoretical tool to study problems in applied mathematics where varying parameters are present, with many applications that range from mechanics to computer vision.

Contents:

Contents; Preface; Introduction; 1 I-convergence by numbers; 2 Integral problems; 3 Some homogenization problems; 4 From discrete systems to integral functionals; 5 Segmentation problems; 6 Phase-transition problems; 7 Free-discontinuity problems; 8 Approximation of free-discontinuity problems; 9 More homogenization problems; 10 Interaction between elliptic problems and partition problems; 11 Discrete systems and free-discontinuity problems; 12 *Some comments on vectorial problems; 13 *Dirichlet problems in perforated domains; 14 *Dimension-reduction problems; 15 *The 'slicing' method

16 *An introduction to the localization method of I-convergenceAppendices; ASome quick recalls; BCharacterization of I-convergence for ID integral problems; List of symbols; References; Index; A; B; C; D; E; F; G; H; I; J; L; M; N; O; P; Q; R; S; T; U; V; W; Y

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [209]-215) and index.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

9786612060700

1-282-06070-8

0-19-152319-4

OCLC:

319063721