ABSTRACT
We study boundary value problems for the quaternionic Helmholtz operator Δ – a, a ∈ ℍ, in a bounded Lipschitz domain Ω of ℝ3. More specifically, we consider the (interior/exterior) Dirichlet problems ( D ± ) { ( Δ − a ) u = 0 in Ω ± u * ∈ L 2 ( ∂ Ω ) , u | ∂ Ω = f ∈ L 2 ( ∂ Ω ) , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315139548/2af6e4bd-72bf-419b-b1f3-52d645c48a21/content/eq1608.tif"/>
