We study the asymptotic behaviour of the spectrum and its associated eigenspaces for a stationary heat propagation problem posed in a bounded cylinder with a rough interface. 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.
This is a joint work with Sara Monsurrò (University of Salerno, Salerno, Italy) and Jake Avila (University of the Philippines Diliman, Quenzon City, Philippines).
Partial Differential Equations @DipMat 