Uniqueness of Solutions of the First and Second Initial-Boundary Value Problems for Parabolic Systems in Bounded Domains on the Plane

被引：7
|
作者：
Baderko, E. A. [1 ,2 ]
Cherepova, M. F. [3 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow 119991, Russia
[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia
[3] Natl Res Univ, Moscow Power Engn Inst, Moscow 111250, Russia
来源：
DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 08期
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1134/S001226612108005X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The first and second initial-boundary value problems are considered for a second-order Petrovskii parabolic system with variable coefficients in a bounded domain with nonsmooth lateral boundaries on the plane. The uniqueness of solution of these problems is proved in the class of functions that are continuous together with the first spatial derivative in the closure of the domain.
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页码：1010 / 1019
页数：10
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