Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions
In this paper we derive a necessary optimality condition for a local optimal solution of some control problems. These optimal control problems are governed by a semi-linear Vettsel boundary value problem of a linear elliptic equation. The control is applied to the state equation via the boundary and...
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| creator | Luo, Yousong |
| description | In this paper we derive a necessary optimality condition for a local optimal
solution of some control problems. These optimal control problems are governed
by a semi-linear Vettsel boundary value problem of a linear elliptic equation.
The control is applied to the state equation via the boundary and a functional
of the control together with the solution of the state equation under such a
control will be minimized. A constrain on the solution of the state equation is
also considered. |
| doi_str_mv | 10.48550/arxiv.0904.1060 |
| format | Article |
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solution of some control problems. These optimal control problems are governed
by a semi-linear Vettsel boundary value problem of a linear elliptic equation.
The control is applied to the state equation via the boundary and a functional
of the control together with the solution of the state equation under such a
control will be minimized. A constrain on the solution of the state equation is
also considered.</description><identifier>DOI: 10.48550/arxiv.0904.1060</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs ; Mathematics - Optimization and Control</subject><creationdate>2009-04</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0904.1060$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0904.1060$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Luo, Yousong</creatorcontrib><title>Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions</title><description>In this paper we derive a necessary optimality condition for a local optimal
solution of some control problems. These optimal control problems are governed
by a semi-linear Vettsel boundary value problem of a linear elliptic equation.
The control is applied to the state equation via the boundary and a functional
of the control together with the solution of the state equation under such a
control will be minimized. A constrain on the solution of the state equation is
also considered.</description><subject>Mathematics - Analysis of PDEs</subject><subject>Mathematics - Optimization and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpFj01LxDAURbNxIaN7V5I_0PrapJl0qaV-wDAjOLgtSZpgIG1mkozaf2_rCK4e3HfvgYPQTQE55VUFdyJ8288caqB5AQwu0XGrlY5RhAnvDskOwtk04caPvU3WjxEbH_CbH_SSpeAdfg1eOj1E7A1unbPzSuH2eBLn_pdNH_hdjylF7fCDP439Av8nXqELI1zU1393hfaP7b55zja7p5fmfpMJVkGmqKwJkwpkSRQvGQUQAipZlxVhdN0zomoz_2lpOCmMkoz3SqwZZ5JRLiVZodsz9le5O4TZLUzdot4t6uQHYudWPQ</recordid><startdate>20090407</startdate><enddate>20090407</enddate><creator>Luo, Yousong</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20090407</creationdate><title>Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions</title><author>Luo, Yousong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a650-c4b936bc0b23c826400aa05b9253647d63c9f6bc42f831fcb68dca7686b648bb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Mathematics - Analysis of PDEs</topic><topic>Mathematics - Optimization and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Luo, Yousong</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Luo, Yousong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions</atitle><date>2009-04-07</date><risdate>2009</risdate><abstract>In this paper we derive a necessary optimality condition for a local optimal
solution of some control problems. These optimal control problems are governed
by a semi-linear Vettsel boundary value problem of a linear elliptic equation.
The control is applied to the state equation via the boundary and a functional
of the control together with the solution of the state equation under such a
control will be minimized. A constrain on the solution of the state equation is
also considered.</abstract><doi>10.48550/arxiv.0904.1060</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs Mathematics - Optimization and Control |
| title | Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions |
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