Systems of equations of Kolmogorov type

  • H. P. Malyts’ka

Abstract

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.
Published
25.12.2008
How to Cite
Malyts’ka, H. P. “Systems of Equations of Kolmogorov Type”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 12, Dec. 2008, pp. 1650–1663, https://umj.imath.kiev.ua/index.php/umj/article/view/3279.
Section
Research articles