Second variation of a smooth optimal control problem at a regular extremal is a symmetric Fredholm operator. We study asymptotics of the spectrum of this operator and give an explicit expression for its determinant in terms of solutions of the Jacobi equation.
Second variation of domain functionals and applications to problems with Robin boundary conditions
Stability in shape optimization with second variation
Operators arising as Second Variation of optimal control problems and their spectral asymptotics
![QR code for arXiv:1807.10527 [math.OC]](http://oss.arxitics.com/images/favicon.svg)