Geometry and interior nodal sets of Steklov eigenfunctions
نویسندگان
چکیده
منابع مشابه
Nodal Sets of Steklov
We study the nodal set of the Steklov eigenfunctions on the boundary of a smooth bounded domain in Rn – the eigenfunctions of the Dirichlet-to-Neumann map Λ. For a bounded Lipschitz domain Ω ⊂ Rn, this map associates to each function u defined on the boundary ∂Ω, the normal derivative of the harmonic function on Ω with boundary data u. Under the assumption that the domain Ω is C2, we prove a do...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2020
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-020-01815-4