Timeline for Sobolev norms of eigenfunctions
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2010 at 21:08 | comment | added | Dorian | Debraj: I would be surprised if you could obtain an explicit formula for the norm. More likely I would expect you can obtain a bound in $H^s$ for $0 < s < 1$ by an interpolation inequality as MLevi has suggested. You will probably have something like: $||u||_{H^s} \leq C ||u||_{L^2}||u||_{H^1}$. | |
| Nov 5, 2009 at 21:30 | comment | added | MLevi | @Debraj: Morrison has a good point, but now that your question has been made more clear, what do you impose on $s>0$? Have you thought of using the Fourier transform and trying some interpolation? | |
| Nov 5, 2009 at 21:21 | comment | added | Kim Morrison | @Debraj: you should edit your original question, instead of providing clarification in an answer. It looks like you didn't register your account, so if you're having trouble logging in to edit, please read mathoverflow.net/questions/24/theres-a-bug-with-logging-in | |
| Nov 5, 2009 at 20:13 | history | answered | Debraj Chakrabarti | CC BY-SA 2.5 |