Second-order optimality conditions and regularity of Lagrange multipliers for mixed optimal control problems
| Autor: | N. B. Giang, N. H. Son, N. Q. Tuan |
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| Rok vydání: | 2020 |
| Předmět: |
Pointwise
021103 operations research Karush–Kuhn–Tucker conditions General Mathematics 010102 general mathematics 0211 other engineering and technologies Boundary (topology) 02 engineering and technology Operator theory Optimal control Lipschitz continuity 01 natural sciences Domain (mathematical analysis) Theoretical Computer Science symbols.namesake Lagrange multiplier symbols Applied mathematics 0101 mathematics Analysis Mathematics |
| Zdroj: | Positivity. 25:911-937 |
| ISSN: | 1572-9281 1385-1292 |
| DOI: | 10.1007/s11117-020-00793-3 |
| Popis: | This paper deals with second-order optimality conditions and regularity of Lagrange multipliers for a class of optimal control problems governed by semilinear elliptic equations with mixed pointwise constraints in which controls act both in the domain and on the boundary. We give some criteria under which the optimality conditions are of KKT type and the multipliers are of $$L^p$$ -spaces. Moreover, we show that the multipliers are Lipschitz continuous functions. |
| Databáze: | OpenAIRE |
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