Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces
classification
🧮 math.AP
math.SP
keywords
eigenfunctionssteklovboundarylengthnodalreal-analyticriemanniansurfaces
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.