This is a handbook of Gamma-convergence, which is a theoretical tool used to study problems in Applied Mathematics where varying parameters are present, with many applications that range from Mechanics to Computer Vision. The book is directed to Applied Mathematicians in all fields and to Engineers with a theoretical background.
Inhaltsverzeichnis
Preface
Introduction
1: Gamma-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 Gamma-convergence
Appendices
B: Characterization of Gamma-convergence for 1D(italic 'D') integral problems
The 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
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