Existence of Optimal Controls for Semilinear Parabolic Equations without Cesari-Type Conditions
Journal Article
·
· Applied Mathematics and Optimization
Optimal control problems governed by semilinear parabolic partial differential equations are considered. No Cesari-type conditions are assumed. By proving the existence theorem and the Pontryagin maximum principle of optimal 'state-control' pairs for the corresponding relaxed problems, an existence theorem of optimal pairs for the original problem is established.
- OSTI ID:
- 21067476
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 47; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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