Weighted Sobolev Spaces on Curves
✍ Scribed by Venancio Alvarez; Domingo Pestana; José M. Rodrı́guez; Elena Romera
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 359 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Taking lim sup L Ä lim k Ä in both sides of (2.10), by (i), (2.8), (2.9), and the fact that lim k Ä \* k =1 we get a contradiction. Hence, , is not identically zero.
We consider an initial-boundary value problem for nonstationary Stokes system in a bounded domain ⊂ R 3 with slip boundary conditions. We assume that is crossed by an axis L. Let us introduce the following weighted Sobolev spaces with finite norms: , where x) = dist{x, L}. We proved the result. Gi
## Communicated by M. Lachowicz Let f ∈ L 2,-l (R 3 ), where We prove the decomposition f =-∇u+g, with g divergence free and u is a solution to the problem in R 3 Since f, u, g are defined in R 3 we need a sufficiently fast decay of these functions as |x|→∞.