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Problem with Free Boundary for Systems of Equations of Reaction-Diffusion Type

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Ukrainian Mathematical Journal Aims and scope

We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions is given in the nonlocal form. The a priori estimates of the Hölder norms are established. These estimates are used to prove the existence and uniqueness of the solution.

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Authors and Affiliations

  1. Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

    Zh. O. Takhirov & M. S. Rasulov

Authors
  1. Zh. O. Takhirov
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  2. M. S. Rasulov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 12, pp. 1690–1700, December, 2017.

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Takhirov, Z.O., Rasulov, M.S. Problem with Free Boundary for Systems of Equations of Reaction-Diffusion Type. Ukr Math J 69, 1968–1980 (2018). https://doi.org/10.1007/s11253-018-1481-4

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  • DOI: https://doi.org/10.1007/s11253-018-1481-4

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