Ukrainian Mathematical Journal

, Volume 45, Issue 11, pp 1736–1761 | Cite as

Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains

  • I. V. Skrypnik


An asymptotic expansion is constructed for solutions of quasilinear parabolic problems with Dirichlet boundary conditions in domains with a fine-grained boundary. It is proved that the sequence of remainders of this expansion in the space W 2 1.1/2 strongly converges to zero.


Boundary Condition Asymptotic Expansion Dirichlet Boundary Dirichlet Boundary Condition Parabolic Problem 
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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • I. V. Skrypnik
    • 1
  1. 1.Institute of Applied Mathematics and MechanicsUkrainian Academy of SciencesDonetsk

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