Laboratoire de Mathématiques Raphaël Salem

UMR 6085 CNRS - Université de Rouen Normandie

The talk is divided into two parts: in the first part of the talk, we discuss some results on the convergence to the solution of a linear elliptic problem in an infinite cylinder of the solutions of the same problem taken on larger and larger truncations of the cylinder. In the second part, we construct correctors that help us to improve the results presented in the first part. Thanks to the estimates obtained when thesecorrectors are involved, we can also prove the optimality of the convergence results described in the first part, in the sense that, without the use of correctors,the length of the cylinders where the convergence takes place cannot be increased.