|
|||||
|
|
Characterization of solutions of a class of ultraparabolic equations of the Kolmogorov type |
|
| Authors: | Stepan Dmytrovych Ivasyshen Vasyl?? Vasyl??ovych Layuk |
| Affiliation: | 1. National Technical University of Ukraine, ??Kyivs??kyi Politekhnichnyi Instytut??, 37, Peremogy Prosp., Kyiv, 03056, Ukraine 2. Chernivtsi Branch of Ya. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the NAS of Ukraine, 28, Golovna Str., Chernivtsi, 58000, Ukraine |
| Abstract: | For a class of ultraparabolic equations of the Kolmogorov type, we prove the theorems on the correct solvability and the integral representation of solutions of the Cauchy problem, whose initial data belong to special weight spaces of functions and generalized Borel measures. On the basis of these theorems, we obtained the full characterization of appropriate classes of solutions of the equations under consideration. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |