Nodal volumes for eigenfunctions of analytic regular elliptic problems

DOI10.1007/BF02787793zbMath0845.35073MaRDI QIDQ1911492

Igor Kukavica

Publication date: 28 April 1996

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

order of vanishingHausdorff measure of nodal sets

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Upper bounds of nodal sets for eigenfunctions of eigenvalue problems ⋮ The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions ⋮ Unique continuation for stationary and dynamical \(Q\)-tensor system of nematic liquid crystals in dimension three ⋮ Length of Vorticity Nodal Sets for Solutions of the 2D Navier–Stokes Equations ⋮ Effect of hyperviscosity on the geometry of the vorticity ⋮ The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index ⋮ Measure upper bounds for nodal sets of eigenfunctions of the bi‐harmonic operator ⋮ Measure upper bounds of nodal sets of Robin eigenfunctions ⋮ Quantitative uniqueness for second-order elliptic operators ⋮ Strong unique continuation for higher order elliptic equations with Gevrey coefficients ⋮ Doubling inequality and nodal sets for solutions of bi-Laplace equations

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