Abstract for the talk at 04.04.2014 (10:15 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Michael Goldman (MPI MIS, Leipzig)
Small divisors problem in quasi-periodic homogenization
In this talk I will present a recent result of P.L. Lions on the fine qualitative properties of correctors in homogenization of linear elliptic PDEs in quasi-periodic media. The behavior of these correctors is governed by some fine algebraic relations between the periods. This can be seen as one of the simplest instance of the so-called small divisors problem.