A remark on the regularity of solutions
โ
Martin Costabel
๐
Article
๐
1990
๐
John Wiley and Sons
๐
English
โ 202 KB
## Abstract Let u be a vector field on a bounded Lipschitz domain in โ^3^, and let u together with its divergence and curl be square integrable. If either the normal or the tangential component of u is square integrable over the boundary, then u belongs to the Sobolev space __H__^1/2^ on the domain