Mathematical Sciences Department Joint Applied Math & Analysis/PDE Seminar
Faouzi Triki, Universite de Grenoble Alpes, France
Thursday, April 3rd
12:00 - 1:00 pm
Title: An improved spectral inequality for sums of eigenfunctions
Abstract: In the talk we revisit the problem of unique continuation of a finite sum of eigenfunctions of an elliptic
operator in a divergence form from an open set to the whole domain. We show that the problem is of hyperbolic
type for a single eigenfunction, and of elliptic type for sums that have two and more eigenfunctions. This inverse
problem can be found in many engineering applications and is also related to control theory for the heat equation.