2 papers
math.AP2024
An Asymptotic Formula for Eigenvalues of the Neumann Laplacian in Domains with a Small Star-shaped Hole
Ly Hong Hai
This article investigates a spectral problem of the Laplace operator in a two-dimensional bounded domain perforated by a small arbitrary star-shaped hole and on the smooth boundary…
math.SP2021
Neumann Laplacian in a perturbed domain
Diana Barseghyan, Baruch Schneider, Ly Hong Hai
We consider a domain with a small compact set of zero Lebesgue measure of removed. Our main result concerns the spectrum of the Neumann Laplacian defined on such domain. We prove t…