Method of parametrix for the ultraparabolic systems

Authors

  • H.P. Malytska Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • I.V. Burtnyak Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine

Keywords:

parametrix method, fundamental matrix of solutions, ultraparabolic system
Published online: 2010-12-30

Abstract

We consider systems of ultraparabolic equations which generated equation of diffusion with inertia. Using the modified method Levy, we constructed the fundamental matrix of solutions of this system of Kolmogorov equations of second order, and got estimations of derivatives, included in the system.

How to Cite
(1)
Malytska, H.; Burtnyak, I. Method of Parametrix for the Ultraparabolic Systems. Carpathian Math. Publ. 2010, 2, 74-82.