• 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


• List of symbols


• References


• Index

Prof. Andrea Braides
Address
Via Balilla 22, 00185 Roma, ITALY
Tel
(+39)0670452392 (home) (+39)0672594688 (office)
Fax
(+39)0672594699
Email
braides@mat.uniroma2.it
Italian, Udine (Italy), April 12,1961

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.