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Asymptotics of locally constrained control in optimal parabolic problems

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Ukrainian Mathematical Journal Aims and scope

Abstract

We construct and justify asymptotic solutions of optimal parabolic problems with locally constrained control which depends only on time.

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References

  1. V. E. Kapustyan, “Asymptotics of constrained control in optimal elliptic problems,”Dokl. Akad. Nauk Ukrainy, No. 2, 70–74 (1992).

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  2. V. E. Kapustyan, “Asymptotic analysis of constrained control in optimal elliptic problems,”Ukr. Mat. Zh.,48, No. 8, 1072–1083 (1993).

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  3. V. E. Kapustyan, “Global constrained control in optimal singularly perturbed elliptic problems,”Dokl. Akad. Nauk Ukrainy, No. 12, 79–83 (1993).

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  4. V. E. Kapustyan, “Asymptotics of constrained control in optimal singular parabolic problems,”Ukr. Mat. Zh.,45, No. 10, 1337–1347 (1993).

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  5. V. E. Kapustyan, “Asymptotics of control in optimal singularly perturbed parabolic problems. Global constraints of control,”Dokl. Akad. Nauk Rossii,333, No. 4, 428–431 (1993).

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  6. J. L. Lions,Controle Optimal de Systèmes Gouvernés par des Equations aux Dérivées Partielles, Dunod Gauthier-Villars, Paris 1968.

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Authors
  1. V. E. Kapustyan
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Kapustyan, V.E. Asymptotics of locally constrained control in optimal parabolic problems. Ukr Math J 48, 56–64 (1996). https://doi.org/10.1007/BF02390983

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  • DOI: https://doi.org/10.1007/BF02390983

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