09/05/2018 Transmission conditions arising by homogenisation of Neumann problems

Giovanni Franzina (INdAM - Università di Firenze)

Ore 16, Aula C3

The homogenisation of Neumann problems for quasilinear elliptic operators on domains with perforations concentrating on a surface M is proved to lead to a measure-theoretic transmission condition across M. We characterise the class of measures that can occur in this limit process and we relate any such measure to the operator and the perforations by a representation formula.