Optimal control of nonlinear systems governed by Dirichlet fractional Laplacian in the minimax framework
Analysis of PDEs
2017-12-29 v2
Abstract
We consider an optimal control problem governed by a class of boundary value problem with the spectral Dirichlet fractional Laplacian. Some sufficient condition for the existence of optimal processes is stated. The proof of the main result relies on variational structure of the problem. To show that boundary value problem with the Dirichlet fractional Laplacian has a weak solution we employ the renowned Ky Fan Theorem.
Keywords
Cite
@article{arxiv.1509.01283,
title = {Optimal control of nonlinear systems governed by Dirichlet fractional Laplacian in the minimax framework},
author = {Dorota Bors},
journal= {arXiv preprint arXiv:1509.01283},
year = {2017}
}
Comments
15 pages