PRINCIPLE OF LOCALIZATION OF SOLUTIONS OF THE CAUCHY PROBLEM FOR ONE CLASS OF DEGENERATE PARABOLIC EQUATIONS OF KOLMOGOROV TYPE

被引：0

作者：

Litovchenko, V. A. ^{[1
]}

Strybko, O. V. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Appl Problems Mech & Math, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 62卷 / 11期

关键词：

Cauchy Problem; Compact Support; Limit Relation; Degenerate Parabolic Equation; Kolmogorov Type;

D O I：

10.1007/s11253-011-0462-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the case where initial data are generalized functions of the Gevrey-distribution type for which the classical notion of equality of two functions on a set is well defined, we establish the principle of local strengthening of the convergence of a solution of the Cauchy problem to its limit value as t -> +0 for one class of degenerate parabolic equations of the Kolmogorov type with (2b) over right arrow -parabolic part whose coefficients are continuous functions that depend only on t.

引用

页码：1707 / 1728

页数：22

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