37 citations · 77 across the 3 of their papers we have counts for
3 papers
math.SP2012★ 23 cited
Spectral stability of higher order uniformly elliptic operators
Victor I. Burenkov, Pier Domenico Lamberti
We prove estimates for the variation of the eigenvalues of uniformly elliptic operators with homogeneous Dirichlet or Neumann boundary conditions upon variation of the open set on…
math.SP2010★ 37 cited
Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators
Victor Burenkov, Pier Domenico Lamberti
We prove sharp stability estimates for the variation of the eigenvalues of non-negative self-adjoint elliptic operators of arbitrary even order upon variation of the open sets on w…
math.AP2008★ 17 cited
Stability estimates for resolvents, eigenvalues and eigenfunctions of elliptic operators on variable domains
G. Barbatis, V. I. Burenkov, P. D. Lamberti
We consider general second order uniformly elliptic operators subject to homogeneous boundary conditions on open sets parametrized by Lipschitz homeomorphisms defined on…