On the Nodal Sets of the Eigenfunctions of Certain Homogeneous and Nonhomogeneous Membranes

DOI10.1137/0524072zbMath0783.35043OpenAlexW1975615420MaRDI QIDQ3142809

Chao-Liang Shen

Publication date: 20 December 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0524072

zbMATH Keywords

density functionsconditions for the existence of eigenfunctions

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (4)

$L^1$ convergence of the reconstruction formula for the potential function ⋮ Inverse nodal problems for the Sturm-Liouville operator with a constant delay ⋮ On the quasinodal map for the diffusion operator ⋮ A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients

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