Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks
Konstantin Pankrashkin, Firoj Sk, Marco Vogel
公開日: 2025/4/7
Abstract
We study the asymptotic behavior of individual eigenvalues of the Laplacian in domains with outward peaks for large negative Robin parameters. A large class of cross-sections is allowed, and the resulting asymptotic expansions reflect both the sharpness of the peak and the geometric shape of its cross-section. The results are an extension of previous works dealing with peaks whose cross-sections are balls.