Optimal distributed control problem for the modified Swift-Hohenberg equations
| dc.contributor.author | Sun, Bing | |
| dc.date.accessioned | 2022-02-14T21:23:47Z | |
| dc.date.available | 2022-02-14T21:23:47Z | |
| dc.date.issued | 2018-06-27 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Sun, B. (2018). Optimal distributed control problem for the modified Swift-Hohenberg equations. <i>Electronic Journal of Differential Equations, 2018</i>(131), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15331 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Maximum principle | |
| dc.subject | Optimal distributed control | |
| dc.subject | Necessary optimality condition | |
| dc.subject | Swift-Hohenberg equation | |
| dc.title | Optimal distributed control problem for the modified Swift-Hohenberg equations | |
| dc.type | Article |