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math.AP2021
Hausdorff measure bounds for nodal sets of Steklov eigenfunctions
Stefano Decio
We study nodal sets of Steklov eigenfunctions in a bounded domain with boundary. Our first result is a lower bound for the Hausdorff measure of the nodal set: we sh…
math.AP2021
Nodal sets of Steklov eigenfunctions near the boundary: Inner radius estimates
Stefano Decio
We show that Steklov eigenfunctions in a bounded Lipschitz domain have wavelength dense nodal sets near the boundary, in contrast to what can happen deep inside the domain. As a co…