Lower bounds for nodal set of biharmonic Steklov problems
arXiv:1506.02070 · doi:10.1112/jlms.12034
Abstract
We use layer potential to establish that the boundary biharmonic Steklov operators are elliptic pseudo-differential operators. Thus we are able to establish lower bounds on both the measure of boundary nodal sets and interior nodal sets for biharmonic Steklov eigenfunctions.