

Preprint 106/2003
A nonlocal singular perturbation problem with periodic well potential
Matthias Kurzke
Contact the author: Please use for correspondence this email.
Submission date: 09. Dec. 2003
Pages: 14
published in: Control, optimisation and calculus of variations (ESAIM-COCV), 12 (2006) 1, p. 52-63
DOI number (of the published article): 10.1051/cocv:2005037
Bibtex
MSC-Numbers: 49J45
Keywords and phrases: gamma-convergence, nonlocal functionals
Download full preprint: PDF (222 kB), PS ziped (227 kB)
Abstract:
For a one-dimensional nonlocal nonconvex singular perturbation problem
with a noncoercive periodic well potential,
we prove a -convergence theorem and show compactness
up to translation
in all
and certain Orlicz spaces for sequences of bounded
energy. This generalizes work of Alberti, Bouchitté and Seppecher
for the coercive two-well case.
The theorem has applications to a certain thin-film limit of
the micromagnetic energy.