Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus

被引：0
作者：
S.D. Ivasyshen
V. A. Litovchenko
机构：
[1] Ukrainian National Technical University,“Kyiv Polytechnic Institute”
[2] Fed’kovych Chernivtsi National University,undefined
来源：
Ukrainian Mathematical Journal | 2011年 / 62卷
关键词：
Positive Constant; Cauchy Problem; Parabolic Equation; Fundamental Solution; Vector Genus;
D O I：
暂无
中图分类号：
学科分类号：
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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \left\{ {\overrightarrow p, \overrightarrow h } \right\} $\end{document}-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.
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页码：1543 / 1566
页数：23
相关论文
共 4 条
[1]  
Kolmogoroff AN(1934)Zufällige Bewegungen (Zur Theorie der Brownschen Bewegung) Ann. Math. 35 116-117
[2]  
Ivasyshen SD(2009)Cauchy problem for one class of degenerate Kolmogorov-type parabolic equations with positive genus Ukr. Mat. Zh. 61 1066-1087
[3]  
Litovchenko VA(2005)Cauchy problem for Mat. Zametki 77 364-379
[4]  
Litovchenko VA(undefined)-parabolic equations with time-dependent coefficients undefined undefined undefined-undefined
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