On hierarchical structures and reiterated homogenization. (English) Zbl 1021.35011

Cwikel, Michael (ed.) et al., Function spaces, interpolation theory and related topics. Proceedings of the international conference in honour of Jaak Peetre on his 65th birthday, Lund, Sweden, August 17-22, 2000. Berlin: de Gruyter. 355-368 (2002).
Summary: We consider the concept of reiterated homogenization, introduced on the physical level by D. A. G. Bruggeman in the 30’s [Ann. Phys. 24, 634 (1935)] and justified mathematically by A. Bensoussan, J.-L. Lions and P. C. Papanicolaou [Asymptotic analysis for periodic structures, North Holland, Amsterdam (1978; Zbl 0404.35001)]. We present and discuss some recent developments of this theory and also give some applications to linear and nonlinear problems.
For the entire collection see [Zbl 0996.00036].


35B37 PDE in connection with control problems (MSC2000)
01A60 History of mathematics in the 20th century


Zbl 0404.35001