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Approximate stabilization for a nonlinear parabolic boundary-value problem

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Ukrainian Mathematical Journal Aims and scope

For the problem of optimal stabilization of solutions of a nonlinear parabolic boundary-value problem with small parameter in the nonlinear term, we substantiate the form of approximate regulator on the basis of the formula of optimal synthesis of the corresponding linear-quadratic problem.

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv, Ukraine

    O. V. Kapustyan, O. A. Kapustyan & A. V. Sukretna

Authors
  1. O. V. Kapustyan
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  2. O. A. Kapustyan
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  3. A. V. Sukretna
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 5, pp. 654–661, May, 2011.

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Kapustyan, O.V., Kapustyan, O.A. & Sukretna, A.V. Approximate stabilization for a nonlinear parabolic boundary-value problem. Ukr Math J 63, 759–767 (2011). https://doi.org/10.1007/s11253-011-0540-x

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  • DOI: https://doi.org/10.1007/s11253-011-0540-x

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