The variational eigenvalues of the Kohn-Nirenberg regularized ∂-Neumann Laplacian converge to those of the ∂-Neumann Laplacian as the regularization tends to zero, with quantitative rates on finite-type pseudoconvex domains, and domain perturbations are controlled by C^2 closeness.
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Spectral Stability of the $\bar\partial-$Neumann Laplacian: the Kohn-Nirenberg elliptic regularization
The variational eigenvalues of the Kohn-Nirenberg regularized ∂-Neumann Laplacian converge to those of the ∂-Neumann Laplacian as the regularization tends to zero, with quantitative rates on finite-type pseudoconvex domains, and domain perturbations are controlled by C^2 closeness.