Konstantin Pankrashkin

collaborators

2 papers

math.AP2025

Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks

Konstantin Pankrashkin, Firoj Sk, Marco Vogel

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 al…

math.SP2024

Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters

Charlotte Dietze, Konstantin Pankrashkin

Let $I^c ◯ \subset R^{n}$ with $n \geq 2$ be a bounded Lipschitz domain with outer unit normal $I^½$ . For $I^\pm \in R$ let $R_{I^} c ◯^{I^} \pm$ be the Laplacian in $I^c ◯$ with the Robin bou…