Fundamental matrix of solutions for one class of parabolic degenerate systems
Keywords:
fundamental matrix of solutions, Kolmogorov equation, ultraparabolic system
Published online:
2012-06-28
Abstract
We consider one class of ultraparabolic equation systems of second order, that have three groups of degenerated variables and coefficients of which depend only on a time variable. We construct the fundamental matrix of Cauchy problem and obtain the estimations of this matrix and of all its derivatives.
How to Cite
(1)
Burtnyak I., Malytska H. Fundamental Matrix of Solutions for One Class of Parabolic Degenerate Systems. Carpathian Math. Publ. 2012, 4 (1), 12–22.