Asymptotics at infinity of solutions to the Neumann problem in a sieve-type layer
С. А. Назаров, Gudrun Thäter · Comptes Rendus Mécanique · 2003
The Neumann problem is considered in a domain Ω , which can differ from a periodic layer inside a compact set. We prove the Fredholm property of the corresponding operator in step-weighted Sobolev spaces and determine its kernel and cokernel. All these results are based on the obtained asymptotic representation of solutions at infinity.