On Conformal Spectral Gap Estimates of the Dirichlet-Laplacian

V. Gol'dshtein, V. Pchelintsev, A. Ukhlov

We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in non-convex domains $\Omega \subset {\mathbb{R}}^2$. With the help of these estimates we obtain asymptot…