Conformal spectral stability estimates for the Dirichlet Laplacian
Conformal spectral stability estimates for the Dirichlet Laplacian
We study the eigenvalue problem for the Dirichlet Laplacian in bounded simply connected plane domains by reducing it, using conformal transformations, to the weighted eigenvalue problem for the Dirichlet Laplacian in the unit disc . This allows us to estimate the variation of the eigenvalues of the Dirichlet Laplacian upon …