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A remark on the spectral domain of nonstationary processes

✍ Scribed by Jiří Michálek; Ludger Rüschendorf


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
545 KB
Volume
53
Category
Article
ISSN
0304-4149

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A remark on the regularity of solutions
✍ Martin Costabel 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 202 KB

## Abstract Let u be a vector field on a bounded Lipschitz domain in ℝ^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