Abstract
This article concerns the optimal distributed control for the modified Swift-Hohenberg equation. Using the Dubovitskii and Milyutin functional analytical approach, we prove the Pontryagin maximum principle of the controlled modified Swift-Hohenberg equation. A necessary optimality condition is established for the problem in fixed final time horizon case. Also we indicate how to utilize the obtained results.
| Original language | English |
|---|---|
| Article number | 131 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2018 |
| Publication status | Published - 27 Jun 2018 |
Keywords
- Maximum principle
- Necessary optimality condition
- Optimal distributed control
- Swift-Hohenberg equation