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Stabilization for a finite time in problems with free boundary for some classes of nonlinear second-order equations

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Abstract

We obtain estimates for the time of stabilization of solutions of problems with free boundary for one-dimensional quasilinear parabolic equations.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    Yu. A. Mitropol’skii & A. A. Berezovskii

  2. Kabardino-Balkar University, Nalchik

    M. Kh. Shkhanukov-Lafishev

Authors
  1. Yu. A. Mitropol’skii
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  2. A. A. Berezovskii
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  3. M. Kh. Shkhanukov-Lafishev
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 2, pp. 214–223, February, 1999.

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Mitropol’skii, Y.A., Berezovskii, A.A. & Shkhanukov-Lafishev, M.K. Stabilization for a finite time in problems with free boundary for some classes of nonlinear second-order equations. Ukr Math J 51, 237–248 (1999). https://doi.org/10.1007/BF02513476

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  • DOI: https://doi.org/10.1007/BF02513476

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