Nodal Sets for Sums of Eigenfunctions on Riemannian Manifolds

DOI10.2307/2160300zbMath0806.58051OpenAlexW4256073705MaRDI QIDQ4305989

Harold Donnelly

Publication date: 15 September 1994

Full work available at URL: https://doi.org/10.2307/2160300

zbMATH Keywords

Riemannian manifoldeigenfunctionsLaplaciannodal setfinite sums

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items

Density of zero sets for sums of eigenfunctions ⋮ A metric Sturm-Liouville theory in two dimensions ⋮ Nodal sets of smooth functions with finite vanishing order and \(p\)-sweepouts ⋮ Indeterminacy estimates and the size of nodal sets in singular spaces

Cites Work

• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Nodal sets of eigenfunctions on Riemannian manifolds
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