Optimality systems for degenerate distributed control problems
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 16 (2013), pp. 60-70

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Necessary and sufficient conditions are obtained for control problems with systems which is described by degenerate evolution equation with initial condition of Cauchy or Showalter. Abstract results are illustrated on example of the free surface equation for filtered fluid.
Keywords: optimal control, optimality system, distributed control system, degenerate evolution equation.
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     author = {M. V. Plekhanova},
     title = {Optimality systems for degenerate distributed control problems},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {60--70},
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     number = {16},
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     url = {http://geodesic.mathdoc.fr/item/VCHGU_2013_16_a5/}
}
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M. V. Plekhanova. Optimality systems for degenerate distributed control problems. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 16 (2013), pp. 60-70. http://geodesic.mathdoc.fr/item/VCHGU_2013_16_a5/