Abstract
AbstractWe consider an optimal control problem containing a control system described by a partial nonlinear differential equation with the fractional Dirichlet–Laplacian, associated to an integral cost. We investigate the existence of optimal solutions for such a problem. In our study we use Filippov’s approach combined with a lower closure theorem for orientor fields.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
Reference33 articles.
1. Antil, H., Otárola, E.: A FEM for an optimal control problem of fractional powers of elliptic operators. SIAM J. Control Optim. 53(6), 3432–3456 (2015)
2. Antil, H., Verma, D., Warma, M.: Optimal control of fractional elliptic PDEs with state constraints and characterization of the dual of fractional-order Sobolev spaces. J. Optim. Theory Appl. 186, 1–23 (2020)
3. Antil, H., Warma, M.: Optimal control of the coefficient for the regional fractional $$p$$-Laplace equation: approximation and convergence. Math. Control Relat. Fields 9, 1–38 (2019)
4. Antil, H., Warma, M.: Optimal control of the coefficient for fractional $$p$$-Laplace equation: approximation and convergence. RIMS Kôkyûroku 2090, 102–116 (2018)
5. Antil, H., Warma, M.: Optimal control of fractional semilinear PDEs. ESAIM Control Optim. Calc. Var. 26(1), 5 (2020). https://doi.org/10.1051/cocv/2019003
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献