CAUCHY PROBLEM FOR A CLASS OF DEGENERATE KOLMOGOROV-TYPE PARABOLIC EQUATIONS WITH NONPOSITIVE GENUS

被引：0

作者：

Ivasyshen, S. D. ^{[1
]}

Litovchenko, V. A. ^{[2
]}

机构：

[1] Ukrainian Natl Tech Univ, Kyiv Polytech Inst, Kiev, Ukraine

[2] Fedkovych Chernivtsi Natl Univ, Chernovtsy, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 62卷 / 10期

关键词：

Positive Constant; Cauchy Problem; Parabolic Equation; Fundamental Solution; Vector Genus;

D O I：

10.1007/s11253-011-0448-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the properties of the fundamental solution and establish the correct solvability of the Cauchy problem for a class of degenerate Kolmogorov-type equations with {(p) over right arrow, (h) over right arrow}-parabolic part with respect to the main group of variables and nonpositive vector genus in the case where the solutions are infinitely differentiable functions and their initial values are generalized functions in the form of Gevrey ultradistributions.

引用

页码：1543 / 1566

页数：24