Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic Equations
We study an optimal control problem governed by a semilinear parabolic equation, whose control variable is contained only in the boundary condition. An existence theorem for the optimal control is obtained.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/534604 |
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doaj-046db195ba9d4c69a0e0a60682598095 |
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Article |
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doaj-046db195ba9d4c69a0e0a606825980952020-11-25T02:29:58ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/534604534604Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic EquationsWeifeng Wang0Baobin Wang1School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, Hubei 430074, ChinaSchool of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, Hubei 430074, ChinaWe study an optimal control problem governed by a semilinear parabolic equation, whose control variable is contained only in the boundary condition. An existence theorem for the optimal control is obtained.http://dx.doi.org/10.1155/2014/534604 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Weifeng Wang Baobin Wang |
| spellingShingle |
Weifeng Wang Baobin Wang Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic Equations Mathematical Problems in Engineering |
| author_facet |
Weifeng Wang Baobin Wang |
| author_sort |
Weifeng Wang |
| title |
Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic Equations |
| title_short |
Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic Equations |
| title_full |
Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic Equations |
| title_fullStr |
Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic Equations |
| title_full_unstemmed |
Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic Equations |
| title_sort |
existence of the optimal control for stochastic boundary control problems governed by semilinear parabolic equations |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2014-01-01 |
| description |
We study an optimal control problem governed by a semilinear parabolic equation, whose control variable is contained only in the boundary condition. An existence theorem for the optimal control is obtained. |
| url |
http://dx.doi.org/10.1155/2014/534604 |
| work_keys_str_mv |
AT weifengwang existenceoftheoptimalcontrolforstochasticboundarycontrolproblemsgovernedbysemilinearparabolicequations AT baobinwang existenceoftheoptimalcontrolforstochasticboundarycontrolproblemsgovernedbysemilinearparabolicequations |
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1724830578150211584 |