Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of ℝ 2
Résumé
We give, first, two new applications related to the range characterization of the range of trace operator in H^2(Ω). After this, we characterize the range of trace operator in the Sobolev spaces W^{3,p}(Ω) when Ω is a connected bounded domain ℝ^2 with Lipschitz-continuous boundary