Timeline for Elliptic operator on non compact manifolds with ends of the type $\Omega\times (r,\infty)\times\mathbb{R}$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 13, 2015 at 19:08 | vote | accept | Coffee | ||
| Jan 13, 2015 at 19:07 | answer | added | Coffee | timeline score: 5 | |
| Jan 7, 2015 at 23:34 | comment | added | Coffee | @riem, third ref:books.google.ca/… | |
| Jan 7, 2015 at 23:23 | comment | added | Coffee | @riem: Hi riem, the Sobolev spaces used in cylindrical manifolds with ends $\Omega\times (0,\infty)$ are particular cases of the so-called weighted Sobolev spaces, I just google trace theorems for weighted Sobolev spaces and it seems there are plenty of references dealing with different cases, hopefully some of them would be useful for you. | |
| Jan 7, 2015 at 20:06 | comment | added | riem | Sorry, I have a question not an answer. Take $M=\Omega \times (0,\infty)$ where $\Omega$ is a compact manifold (so $M$ is a manifold with cylindrical end). Are you aware of any references for eg. Sobolev trace theorems $T:H^1(M) \to H^{\frac 12}(\partial M)$ and so on (related to mathoverflow.net/questions/191383/…). I tried your first two references but they appear not to contain such properties. | |
| Jan 7, 2015 at 2:55 | history | asked | Coffee | CC BY-SA 3.0 |