Description
Book SynopsisThe theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for the description of the asymptotic behaviour of variational problems. Its applications range from the mathematical analysis of composites to the theory of phase transitions, from Image Processing to Fracture Mechanics. This text, written by an expert in the field, 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 and at the same time provide a stimulating starting point for further studies. The main part is set in a one-dimensional framework that highlights the main issues of Gamma-convergence without the burden of higher-dimensional technicalities. The text deals in sequence with increasingly complex problems, first treating integral functionals, then homogenisation, segmentation problems, phase transitions, free-discontinuity problems and their discrete and conti
Trade ReviewThe presentation is overall quite clear, and the style is often captivating. Many figures, examples and exercises complete the monograph. Finally, it is worth adding a mention on the bibiography, which is at present a truly complete account of papers in this area. * Mathematical Reviews *
Table of ContentsA. SOME QUICK RECALLS
