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On mixed boundary value problems for pseudoparabolic systems

  • G. V. Demidenko
  • I. I. Matveeva
Article

Abstract

Solvability analysis of mixed boundary value problems for pseudoparabolic systems in a special scale of weighted Sobolev spaces is presented. The class under consideration contains the linearized Navier-Stokes system. It is proved that, choosing the power weight, one can diminish the number of solvability conditions and in some cases obtain unconditional solvability of the boundary value problems.

Keywords

Industrial Mathematic Solvability Condition Mixed Problem Stokes System Weighted Sobolev Space 
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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • G. V. Demidenko
    • 1
  • I. I. Matveeva
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

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