Geometry and interior nodal sets of Steklov eigenfunctions
Document Type
Article
Publication Date
10-1-2020
Abstract
We investigate the geometric properties of Steklov eigenfunctions in smooth manifolds. We derive the refined doubling estimates and Bernstein’s inequalities. For the real analytic manifolds, we are able to obtain the sharp upper bound for the measure of interior nodal sets.
Publication Source (Journal or Book title)
Calculus of Variations and Partial Differential Equations
Recommended Citation
Zhu, J. (2020). Geometry and interior nodal sets of Steklov eigenfunctions. Calculus of Variations and Partial Differential Equations, 59 (5) https://doi.org/10.1007/s00526-020-01815-4
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