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.

引用

页码：1010 / 1019

页数：10

共 50 条

[1] Uniqueness of Solutions of the First and Second Initial–Boundary Value Problems for Parabolic Systems in Bounded Domains on the Plane
E. A. Baderko
M. F. Cherepova
Differential Equations, 2021, 57 : 1010 - 1019
[2] Uniqueness of Solutions of Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in Domains on the Plane
Baderko, E. A.
Sakharov, S. I.
DOKLADY MATHEMATICS, 2022, 105 (02) : 71 - 74
[3] Uniqueness of Solutions of Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in Domains on the Plane
E. A. Baderko
S. I. Sakharov
Doklady Mathematics, 2022, 105 : 71 - 74
[4] Uniqueness of Solutions to Initial Boundary Value Problems for Parabolic Systems in Plane Bounded Domains with Nonsmooth Lateral Boundaries
Baderko, E. A.
Cherepova, M. F.
DOKLADY MATHEMATICS, 2020, 102 (02) : 357 - 359
[5] Uniqueness of Solutions to Initial Boundary Value Problems for Parabolic Systems in Plane Bounded Domains with Nonsmooth Lateral Boundaries
E. A. Baderko
M. F. Cherepova
Doklady Mathematics, 2020, 102 : 357 - 359
[6] On the Unique Solvability of Initial-Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries
Baderko, E. A.
Sakharov, S. I.
DIFFERENTIAL EQUATIONS, 2023, 59 (05) : 618 - 628
[7] Uniqueness of Solutions to Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in a Semibounded Domain on the Plane
E. A. Baderko
S. I. Sakharov
Computational Mathematics and Mathematical Physics, 2023, 63 : 553 - 563
[8] Uniqueness of Solutions to Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in a Semibounded Domain on the Plane
Baderko, E. A.
Sakharov, S. I.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (04) : 553 - 563
[9] Uniqueness of Solution of the First Initial-Boundary Value Problem for Parabolic Systems with Constant Coefficients in a Semibounded Domain on the Plane
E. A. Baderko
M. F. Cherepova
Differential Equations, 2019, 55 : 658 - 668
[10] Uniqueness of Solution of the First Initial-Boundary Value Problem for Parabolic Systems with Constant Coefficients in a Semibounded Domain on the Plane
Baderko, E. A.
Cherepova, M. F.
DIFFERENTIAL EQUATIONS, 2019, 55 (05) : 658 - 668

← 1 2 3 4 5 →