Gamma-Convergence for Beginners

by Andrea Braides

Overview

This book is a compelling handbook in this important topic in the field of Applied Mathematics. Written by a leading expert in the field, it provides a brief and simple introduction to this subject, based on the treatment of a series of fundamental problems that illustrate the main features and techniques of Gamma-convergence without the burden of higher-dimensional technicalities.

Product Details

ISBN-13:	9780198507840
Publisher:	Oxford University Press
Publication date:	09/26/2002
Series:	Oxford Lecture Series in Mathematics and Its Applications , #22
Edition description:	New Edition
Pages:	230
Product dimensions:	9.21(w) x 6.14(h) x 0.56(d)

Table of Contents

PrefaceIntroduction1. Γ-convergence by numbers2. Integral problems3. Some homogenization problems4. From discrete systems to integral functionals5. Segmentation problems6. Phase-transition problems7. Free-discontinuity problems8. Approximation of free-discontinuity problems9. More homogenization problems10. Interaction between elliptic problems and partition problems11. Discrete systems and free-discontinuity problems12. *Some comments on vectoral problems13. *Dirichlet problems in perforated domains14. *Dimension-reduction problems15. *The 'slicing' method16. *An introduction to the localization method of Γ-convergenceAppendix A. Some quick recallsAppendix B. Characterization of Γ-convergence for 1D integral problemsList of symbolsReferencesIndexB.