Perron-Frobenius, principal eigenvalue, Maximum Principle: a personal itinerary

Abstract

This paper dedicated to Umberto Mosco revisits a line of my research starting in the early 70's in the aim of identifying a path connecting different concepts which play a role in elliptic pde's, spectral theory and optimal control.

Keywords

• maximum principle
• principal eigenvalue
• perron-frobenius theorem
• optimal control.