CAUCHY PROBLEM FOR ONE CLASS OF DEGENERATE PARABOLIC EQUATIONS OF KOLMOGOROV TYPE WITH POSITIVE GENUS

被引：1

作者：

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

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

机构：

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

[2] Chernivtsi Natl Univ, Chernovtsy, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 08期

关键词：

Cauchy Problem; Fundamental Solution; Abstract Function; Limit Relation; Degenerate Parabolic Equation;

D O I：

10.1007/s11253-010-0275-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate properties of a fundamental solution and establish the correct solvability of the Cauchy problem for one 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 with positive vector genus in the case where solutions are infinitely differentiable functions and their initial values may be generalized functions of Gevrey ultradistribution

引用

页码：1264 / 1288

页数：25

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