Uniqueness of Solutions to Initial Boundary Value Problems for Parabolic Systems in Plane Bounded Domains with Nonsmooth Lateral Boundaries

被引：6

作者：

Baderko, E. A. ^{[1
]}

Cherepova, M. F. ^{[2
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow Ctr Fundamental & Appl Math, Moscow 119992, Russia

[2] Natl Res Univ, Moscow Power Engn Inst, Moscow 111250, Russia

来源：

DOKLADY MATHEMATICS | 2020年 / 102卷 / 02期

关键词：

parabolic systems; initial boundary value problems; uniqueness of regular solutions; nonsmooth lateral boundaries;

D O I：

10.1134/S1064562420050269

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider initial boundary value problems with boundary conditions of the first or second kind for one-dimensional (with respect to a spatial variable) Petrovskii parabolic systems of the second order with variable coefficients in a bounded domain with nonsmooth lateral boundaries. The uniqueness of regular solutions to these problems in the class of functions that are continuous in the closure of the domain together with their first spatial derivatives is established using the boundary integral equation method.

引用

页码：357 / 359

页数：3

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