Geodesic
Optimal problems for parabolic-type systems with aspheric sets of admissible controls
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 74-79

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We consider an optimization problem for one class of parabolic systems with aspheric sets of admissible controls and establish an existence theorem for its optimal solution. We apply the obtained results to the study of one mathematical heat-exchange model.
Keywords: optimal control, parabolic systems, topological degree, aspheric set. 
@article{IVM_2009_12_a8,
     author = {E. S. Baranovskii},
     title = {Optimal problems for parabolic-type systems with aspheric sets of admissible controls},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {74--79},
     publisher = {mathdoc},
     number = {12},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_12_a8/}
}
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E. S. Baranovskii. Optimal problems for parabolic-type systems with aspheric sets of admissible controls. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 74-79. http://geodesic.mathdoc.fr/item/IVM_2009_12_a8/