Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type

Authors

  • S. D. Ivasyshen Нац. техн. ун-т України „КПI”, Київ
  • V. V. Layuk Iн-т прикл. пробл. механiки i математики НАН України, Львiв

Abstract

Fundamental solutions of the Cauchy problem for three classes of degenerate parabolic equations are investigated. These equations are natural generalizations of the classical Kolmogorov equation of the diffusion with the inertia.

Published

25.11.2011

Issue

Section

Research articles

How to Cite

Ivasyshen, S. D., and V. V. Layuk. “Fundamental Solutions of the Cauchy Problem for Some Degenerate Parabolic Equations of the Kolmogorov Type”. Ukrains’kyi Matematychnyi Zhurnal, vol. 63, no. 11, Nov. 2011, pp. 1469-00, https://umj.imath.kiev.ua/index.php/umj/article/view/2819.