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Nodal Sets for Sums of Eigenfunctions on Riemannian Manifolds
| Content Provider | Semantic Scholar |
|---|---|
| Author | Donnelly, Harold Li, Peter |
| Copyright Year | 2010 |
| Abstract | Quantitative versions of unique continuation are proved for finite sums of eigenfunctions of the Laplacian on compact Riemannian manifolds. The results include a lower bound for the order of vanishing, a growth estimate for the supremum on compact balls, and a gradient bound. For real analytic metrics, an upper bound for the Hausdorff measure of the zero set is derived. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1994-121-03/S0002-9939-1994-1205487-X/S0002-9939-1994-1205487-X.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Continuation Gradient Hausdorff measure Version |
| Content Type | Text |
| Resource Type | Article |
