Properties of the fundamental solutions and uniqueness theorems for the solutions of the Cauchy problem for one class of ultraparabolic equations

  • S. D. Ivasyshen Нац. техн. ун-т України „КПI”, Київ
  • V. S. Drotn'

Abstract

For one class of degenerate parabolic equations of the Kolmogorov type, we establish the property of normality, the convolution formula, the property of positivity, and a lower bound for the fundamental solution. We also prove uniqueness theorems for the solutions of the Cauchy problem for the classes of functions with bounded growth and for the class of nonnegative functions.
Published
25.11.1998
How to Cite
IvasyshenS. D., and Drotn’V. S. “Properties of the Fundamental Solutions and Uniqueness Theorems for the Solutions of the Cauchy Problem for One Class of Ultraparabolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 11, Nov. 1998, pp. 1482–1496, https://umj.imath.kiev.ua/index.php/umj/article/view/4800.
Section
Research articles