Sigma-CONVERGENCE
Artikel i vetenskaplig tidskrift, 2011

We discuss two new concepts of convergence in Lp-spaces, the socalled weak-convergence and strong convergence, which are intermediate between classical weak convergence and strong convergence. We also introduce the concept of -convergence for Radon measures. Our basic tool is the classical Gelfand representation theory. Apart from being a natural generalization of well-known two-scale convergence theory, the present study lays the foundation of the mathematical framework that is needed to undertake a systematic study of deterministic homogenization problems beyond the usual periodic setting. A few homogenization problems are worked out by way of illustration.

sigma-convergence

homogenization algebras

gelfand transformation

homogenization

Författare

G Nguetseng

Nils Svanstedt

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Banach Journal of Mathematical Analysis

1735-8787 (ISSN)

Vol. 5 1 101-135

Ämneskategorier

Matematik