NDLI: Nodal sets for sums of eigenfunctions on Riemannian manifolds

Content Provider	Semantic Scholar
Author	Donnelly, Harold
Copyright Year	1994
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.
Starting Page	967
Ending Page	973
Page Count	7
File Format	PDF HTM / HTML
DOI	10.1090/S0002-9939-1994-1205487-X
Volume Number	121
Alternate Webpage(s)	http://www.ams.org/journals/proc/1994-121-03/S0002-9939-1994-1205487-X/S0002-9939-1994-1205487-X.pdf
Alternate Webpage(s)	https://www.ams.org/journals/proc/1994-121-03/S0002-9939-1994-1205487-X/S0002-9939-1994-1205487-X.pdf
Alternate Webpage(s)	https://doi.org/10.1090/S0002-9939-1994-1205487-X
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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