First mixed problem for a parabolic difference-differential equation

被引：5

作者：

Skubachevskii, AL ^{[1
]}

Shamin, RV ^{[1
]}

机构：

[1] Moscow State Aviat Inst, Moscow, Russia

来源：

MATHEMATICAL NOTES | 1999年 / 66卷 / 1-2期

关键词：

parabolic difference-differential equation; strongly elliptic operator; Sobolev spaces;

D O I：

10.1007/BF02674077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The first mixed boundary value problem for a parabolic difference-differential equation with shifts with respect to the spatial variables is considered. The unique solvability of this problem and the smoothness of generalized solutions in some cylindrical subdomains are established. it is shown that the smoothness of generalized solutions can be violated on the interfaces of neighboring subdomains.

引用

页码：113 / 119

页数：7

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