Neumann problem in a perforated layer (sieve)
С. А. Назаров, Gudrun Thäter · Asymptotic Analysis · 2005
The objective of our paper is to construct the asymptotic representation of solutions to our problem at infinity. In doing so the main difficulty is the justification of the formal procedure presented at the beginning. Then, based on the asymptotics, we calculate integral representations for the involved coefficients and prove the Fredholm property of our problem in step-weighted spaces providing at the same moment kernel and cokernel.