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Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Semilinear Parabolic Equations.
- Source :
- Set-Valued & Variational Analysis; Mar2022, Vol. 30 Issue 1, p257-281, 25p
- Publication Year :
- 2022
-
Abstract
- We consider multiobjective optimal control problems for semilinear parabolic systems subject to pointwise state constraints, integral state-control constraints and pointwise state-control constraints. In addition, the data of the problems need not be twice Fréchet differentiable. Employing the second-order directional derivative (in the sense of Demyanov-Pevnyi) for the involved functions, we establish necessary optimality conditions, via second-order Lagrange multiplier rules of Fritz-John type, for local weak Pareto solutions of the problems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18770533
- Volume :
- 30
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Set-Valued & Variational Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 155685266
- Full Text :
- https://doi.org/10.1007/s11228-020-00555-z