Abstract for the talk on 07.06.2016 (16:45 h)

Oberseminar ANALYSIS - PROBABILITY

Márton Kiss (Technical University Budapest)
Ambarzumian type theorems

Consider the eigenvalue problem                 } − y′′ + q(x)y = λy  y′(0) = y′(1) = 0  .  If q = 0 then the eigenvalues are λn = n2π2 (n 0). What is surprising is that the converse is also true; this is Ambarzumian’s theorem. We discuss some similar statements on graphs and in a PDE setting.


 

01.03.2017, 13:57