𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sobolev spaces and symbolic calculus

✍ Scribed by R. Kaufman


Book ID
112885672
Publisher
The Hebrew University Magnes Press
Year
1980
Tongue
English
Weight
90 KB
Volume
35
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Integration by parts formulas and rotati
✍ R. Leandre πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 606 KB

We give formulas for integration by parts over the path space and over the loop space of a manifold. We define Sobolev spaces and an Ornstein-Uhlenbeck operator on the loop space. We find some functionals which belongto all the Sobolev spaces.

Topology and Sobolev Spaces
✍ Haim Brezis; Yanyan Li πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 296 KB

Consider the Sobolev class W 1, p (M, N) where M and N are compact manifolds. We present some sufficient conditions which guarantee that W 1, p (M, N) is pathconnected. We also discuss cases where W 1, p (M, N) admits more than one component. There are still a number of open problems, especially con

Fractional Sobolev spaces and topology
✍ Pierre Bousquet πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 446 KB

Consider the Sobolev class W s, p (M, N ) where M and N are compact manifolds, and p β‰₯ 1, s ∈ (0, 1 + 1/ p). We present a necessary and sufficient condition for two maps u and v in W s, p (M, N ) to be continuously connected in W s, p (M, N ). We also discuss the problem of connecting a map u ∈ W s,