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math.SP2017
Polynomial upper bound on interior Steklov nodal sets
Bogdan Georgiev, Guillaume Roy-Fortin
We study solutions of uniformly elliptic PDE with Lipschitz leading coefficients and bounded lower order coefficients. We extend previous results of A. Logunov concerning nodal set…
math.SP2016★ 1 cited
A Spectral Gap Estimate and Applications
Bogdan Georgiev, Mayukh Mukherjee, Stefan Steinerberger
We consider the Schrödinger operator $$-\frac{d^2}{d x^2} + V \qquad \mbox{on an interval}~~[a,b]~\mbox{with Dirichlet boundary conditions},$$ where is bounded from below and p…