Operators arising as Second Variation of optimal control problems and their spectral asymptotics

Stefano Baranzini

Published 2021-07-26Version 1

The second variation of an optimal control problems satisfying Legendre strong condition can be written in the form $1+K$ where $K$ is a compact operator. In the paper a characterization of the compact part $K$ is given and the asymptotic for the eigenvalues is computed.