Lecture Notes in Mathematics

Braides, Andrea

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.

Details

Published by: Springer

Publication Date: 1998-09-17

Format: Paperback

ISBN-13: 9783540647713

DOI: 10.1007/BFb0097344

Dimensions: 233cm x155cm

Pages: 154