Timeline for Size of the eigenfunction of Laplacian (reference request)
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 16, 2015 at 11:41 | comment | added | ifw | A nice reference is Sogge's latest book Hangzhou Lectures on Eigenfunctions of the Laplacian (Princeton Univ. Press, 2014). | |
| Apr 15, 2015 at 19:45 | comment | added | Subhajit Jana | Could you please tell me the exact statement of Berard's theorem of $\log$ saving? | |
| Apr 15, 2015 at 11:53 | comment | added | Tomas | Yes, there is a log improvement for $L^{\infty}$ norm of the eigenfunction for manifolds with negative curvature. Actually, it's proved recently that there is also a log improvement for $L^p$ norm with $p>\frac{2(n+1)}{n-1}$. The classical $L^p$ norm s(including $p=\infty$)for general manifolds was first proved by C.D.Sogge, and the result is sharp by testing spherical harmonics. You can find this in his book "Fourier integrals in classical analysis". | |
| Apr 15, 2015 at 2:27 | history | asked | Subhajit Jana | CC BY-SA 3.0 |