Andrea Braides (auth.)3540647716, 9783540647713
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications. |
Table of contents :
Introduction….Pages 1-6
Functions of bounded variation….Pages 7-26
Special functions of bounded variation….Pages 27-38
Examples of approximation….Pages 39-86
A general approach to approximation….Pages 87-102
Non-local approximation….Pages 103-130 |
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