Interior nodal sets of Steklov eigenfunctions on surfaces
نویسندگان
چکیده
منابع مشابه
Nodal Length of Steklov Eigenfunctions on Real-analytic Riemannian Surfaces
We prove sharp upper and lower bounds for the nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces with boundary. The argument involves frequency function methods for harmonic functions in the interior of the surface as well as the construction of exponentially accurate approximations for the Steklov eigenfunctions near the boundary.
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2016
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2016.9.859