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Siberian Mathematical Journal

, Volume 45, Issue 1, pp 86–99 | Cite as

On One Class of Matrix Differential Operators

  • G. V. Demidenko
Article

Abstract

We consider one class of matrix differential operators in the whole space. For this class of operators we establish the isomorphic properties in some special scales of weighted Sobolev spaces and study the regularity properties for solutions to the system of differential equations defined by these operators. The class of operators under consideration contains the stationary Navier–Stokes operator.

matrix differential operator weighted Sobolev space isomorphism solution regularity Navier–Stokes operator 

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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • G. V. Demidenko
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirsk

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