Ukrainian Mathematical Journal

, Volume 60, Issue 12, pp 1937–1954 | Cite as

Systems of equations of Kolmogorov type

  • H. P. Malyts’ka

We consider one class of degenerate parabolic systems of equations of the type of diffusion equation with Kolmogorov inertia. For systems whose coefficients may depend only on the time variable, we construct a fundamental matrix of solutions of the Cauchy problem and obtain estimates for this matrix and all its derivatives.


Cauchy Problem Fundamental Solution Diffusion Equation Parabolic System Fundamental Matrix 
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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • H. P. Malyts’ka
    • 1
  1. 1.Precarpathian National UniversityIvano-Frankivs’kUkraine

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