Venue
Online (GoogleMeet)
Speaker
Debangana Mukherjee
Affiliation
Montan University
Title
On fractional multi-singular Schrödinger operators
I will discuss about the nonlocal operators, in particular, the fractional Laplacian, and investigate the positivity properties of nonlocal Schrödinger type operators, driven by the fractional Laplacian by developing a criterion that links the positivity of the spectrum of such operators with the existence of certain positive supersolutions, thereby establishing necessary and sufficient conditions for the existence of a configuration of poles that ensures the positivity of the corresponding Schrödinger operator.