IJPAM: Volume 2, No. 1 (2002)
TWO-SCALE CONVERGENCE
Dag Lukkassen
, Gabriel Nguetseng
, Peter Wall
Narvik University College
P.O. Box 385, N-8505 Narvik, NORWAY
e-mail: dl@hin.no
url: https://hin.no/~dl/
Dept. of Mathematics
University of Yaoundel
P.O. Box 812, Yaounde, CAMEROUN
e-mail: gnguets@uycdc.uninet.cm
Dept. of Mathematics
Luleå University, S-97187 Luleå, SWEDEN
e-mail: wall@sm.luth.se
url: https://www.sm.luth.se/~wall
, Gabriel Nguetseng, Peter Wall
Narvik University College
P.O. Box 385, N-8505 Narvik, NORWAY
e-mail: dl@hin.no
url: https://hin.no/~dl/
Dept. of Mathematics
University of Yaoundel
P.O. Box 812, Yaounde, CAMEROUN
e-mail: gnguets@uycdc.uninet.cm
Dept. of Mathematics
Luleå University, S-97187 Luleå, SWEDEN
e-mail: wall@sm.luth.se
url: https://www.sm.luth.se/~wall
Dedicated to the memory of
Jacques-Louis Lions 1928-2001
Jacques-Louis Lions 1928-2001
Abstract.This paper is devoted to the properties and applications of two-scale
convergence introduced by Nguetseng in 1989. In a self-contained way, we
present the details of the basic ideas in this theory. Moreover, we give an
overview of the main homogenization problems which have been studied by this
technique. We also bridge gaps in previous presentations, make
generalizations and give alternative proofs.
Received: January 29, 2002
AMS Subject Classification: 35B27, 35B40
Key Words and Phrases: homogenization, two-scale convergence, multiscale convergence, reiterated homogenization
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2002
Volume: 2
Issue: 1
