On the length of the nodal curve of an eigenfunction of the Laplace operator

DOI10.1070/RM1988v043n04ABEH001905zbMath0683.35021OpenAlexW2034850000MaRDI QIDQ4732772

Nikolai S. Nadirashvili

Publication date: 1988

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1988v043n04abeh001905

zbMATH Keywords

eigenfunctionlength of the nodal curve

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Nodal volumes for eigenfunctions of analytic regular elliptic problems ⋮ Interior hölder estimates for solutions of schrödinger equations and the regularity of nodal sets ⋮ On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems ⋮ Nodal Sets for Eigenfunctions of the Laplacian On Surfaces ⋮ Indeterminacy estimates and the size of nodal sets in singular spaces

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