Non-local variational limits of discrete systems

Authors
Braides, A
Citation
A. Braides, Non-local variational limits of discrete systems, COMMUN C M, 2(2), 2000, pp. 285-297
Citations number
19
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN journal
02191997 → ACNP
Volume
2
Issue
2
Year of publication
2000
Pages
285 - 297
Database
ISI
SICI code
0219-1997(200005)2:2<285:NVLODS>2.0.ZU;2-D
Abstract
We show that the limit of a class of discrete energies defined on one-dimen sional lattices of step size epsilon when epsilon --> 0 define a continuum energy with a local and a non-local term with domain a subspace of the spec ial functions of bounded variation.