Homogenization of an eigenvalue problem through rough surfaces
Jake Avila, Jake Avila, Sara Monsurrò, Federica Raimondi, Federica Raimondi · Asymptotic Analysis · 2023
In a bounded cylinder with a rough interface we study the asymptotic behaviour of the spectrum and its associated eigenspaces for a stationary heat propagation problem. The main novelty concerns the proof of the uniform a priori estimates for the eigenvalues. In fact, due to the peculiar geometry of the domain, standard techniques do not apply and a suitable new approach is developed.