Optimal Control Problems for a Class of Semilinear Multisolution Elliptic Equations

H. Gao and N.H. Pavel
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H. Gao: Northeast Normal University
N.H. Pavel: Ohio University

Journal of Optimization Theory and Applications, 2003, vol. 118, issue 2, No 8, 353-380

Abstract: Abstract We study the optimal control problem for a class of elliptic problems that may possess multiple solutions. We obtain necessary conditions for optimal control by constructing a related parabolic problem and using known results for the parabolic problem.

Keywords: Elliptic equations; parabolic equations; optimal control; closed range densely defined operators; necessary conditions (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1025403506651

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