Spectral theory for singular Riemannian metrics

Orateur:
Charlotte Dietze (Sorbonne université)
Localisation:
Type: Groupe de travail équations aux dérivées partielles
Site: P4 423 , UPEC
Salle:
P4 423
Date de début:
Date de fin:

We prove eigenvalue asymptotics and concentration of eigenfunctions of the Laplace-Beltrami operator for certain singular Riemannian metrics. This is motivated by the study of propagation of sound waves in gas planets. The talk is based on joint works with Yves Colin de Verdière, Maarten de Hoop and Emmanuel Trélat, and with Larry Read.