Doubling Property and Vanishing Order of Steklov Eigenfunctions

DOI10.1080/03605302.2015.1025980zbMath1323.47017arXiv1407.1448OpenAlexW2964119300MaRDI QIDQ3448240

Jiuyi Zhu

Publication date: 23 October 2015

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1448

zbMATH Keywords

Carleman estimatesSteklov eigenfunctionsvanishing orderdoubling estimates

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Eigenvalue problems for linear operators (47A75)

Related Items (12)

Upper bounds of nodal sets for eigenfunctions of eigenvalue problems ⋮ On quantitative unique continuation properties of fractional Schrödinger equations: Doubling, vanishing order and nodal domain estimates ⋮ Boundary doubling inequality and nodal sets of Robin and Neumann eigenfunctions ⋮ Quantitative uniqueness for fractional heat type operators ⋮ Space-like quantitative uniqueness for parabolic operators ⋮ Geometry and interior nodal sets of Steklov eigenfunctions ⋮ Pointwise bounds for Steklov eigenfunctions ⋮ Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces ⋮ Doubling inequalities and critical sets of Dirichlet eigenfunctions ⋮ Lower bounds for interior nodal sets of Steklov eigenfunctions ⋮ On the fractional Landis conjecture ⋮ Polynomial upper bound on interior Steklov nodal sets

Cites Work

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• Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
• Strong Uniqueness Theorems for Second Order Elliptic Differential Equations
• Nodal sets of solutions of elliptic and parabolic equations
• Unique continuation for elliptic operators: A geometric-variational approach
• Elliptic Partial Differential Equations of Second Order

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