14 citations · 15 across the 4 of their papers we have counts for
3 papers
math.AP2016
Conformal Spectral Stability Estimates for the Neumann Laplacian
V. I. Burenkov, V. Gol'dshtein, A. Ukhlov
We study the eigenvalue problem for the Neumann-Laplace operator in conformal regular planar domains . Conformal regular domains support the Poincaré inequality…
math.SP2014★ 14 cited
Conformal spectral stability for the Dirichlet-Laplace operator
Victor Burenkov, Vladimir Gol'dshtein, Alexander Ukhlov
We study the eigenvalue problem for the Dirichlet Laplacian in bounded simply connected plane domains using conformal transformations of the original problem t…
math.SP2001★ 1 cited
Spectral Stability of the Neumann Laplacian
V. I. Burenkov, E. B. Davies
We prove the equivalence of Hardy- and Sobolev-type inequalities, certain uniform bounds on the heat kernel and some spectral regularity properties of the Neumann Laplacian associa…