Sturm's theorem on the zeros of sums of eigenfunctions: Gelfand's strategy implemented

zbMath1472.34004arXiv1807.03990MaRDI QIDQ5112502

Bernard Helffer, Pierre H. Bérard

Publication date: 29 May 2020

Full work available at URL: https://arxiv.org/abs/1807.03990

zbMATH Keywords

nodal domainSturm theoremCourant nodal domain theoremzeros of eigenfunction

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) History of ordinary differential equations (34-03) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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