Skip to main content

Inverse localization of eigenfunctions and applications

Posted in
Speaker: 
Francisco Torres de Lizaur
Zugehörigkeit: 
MPIM
Datum: 
Die, 09/10/2018 - 12:00 - 13:00
Location: 
MPIM Lecture Hall

We will discuss some situations where the following phenomenon can be shown to hold: let f be any solution of the Helmholtz equation (\Delta f+f=0) on the unit ball of Euclidean space; if one examines the eigenfunctions of the Laplace-Beltrami operator on certain Riemannian manifolds at increasingly high eigenvalues K2 and at small balls of radius 1/K, one ends up finding an eigenfunction that in rescaled coordinates approximates, with a given arbitrarily small precision, the function f.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A