Optimal boundary control for a time dependent thermistor problem.
Hrynkiv, Volodymyr (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hrynkiv, Volodymyr (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Pascal, Jesús A., Galindez, Cecilia (2005)
Divulgaciones Matemáticas
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Grigorieva, Ellina V., Khailov, Evgenii N. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Walter Alt (2003)
Control and Cybernetics
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Brandao, Adilson J.V., Fernandez-Cara, Enrique, Magalhaes, Paulo M.D., Rojas-Medar, Marko Antonio (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Muthukumar, T., Nandakumaran, A.K. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Jose Luis Boldrini, Enrique Fernández-Cara, Marko Antonio Rojas-Medar (2007)
Revista Matemática Complutense
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Pillis, Lisette G.de, Fister, K.Renee, Gu, Weiqing, Collins, Craig, Daub, Michael, Gross, David, Moore, James, Preskill, Ben (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Vu Ngoc Phat (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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M. Delgado-Téllez, Alberto Ibort Latre (2003)
Extracta Mathematicae
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A. Khludnev (1992)
Banach Center Publications
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An optimal control problem is considered where the state of the system is described by a variational inequality for the operator w → εΔ²w - φ(‖∇w‖²)Δw. A set of nonnegative functions φ is used as a control region. The problem is shown to have a solution for every fixed ε > 0. Moreover, the solvability of the limit optimal control problem corresponding to ε = 0 is proved. A compactness property of the solutions of the optimal control problems for ε > 0 and their relation with the...
Ainseba, Bedr'Eddine, Aniţa, Sebastian, Langlais, Michel (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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