Smooth Solution of the First Initial-Boundary Value Problem for Parabolic Systems in a Semibounded Domain with Nonsmooth Lateral Boundary on the Plane

被引：0

作者：

Fedorov, K. D. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia

来源：

DIFFERENTIAL EQUATIONS | 2022年 / 58卷 / 10期

关键词：

D O I：

10.1134/S00122661220100093

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the first initial-boundary value problem for homogeneous second-order parabolic systems with Dini continuous coefficients in a semibounded domain omega on the plane with a curvilinear lateral boundary that is nonsmooth at t=0 . The existence of a solution of this problem in the class C-x,t(2,1)((omega) over bar) is proved by the method of boundary integral equations.

引用

页码：1396 / 1409

页数：14

共 50 条

[31] 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
[32] On the Unique Solvability of Initial–Boundary Value Problems for Parabolic Systems in Bounded Plane Domains with Nonsmooth Lateral Boundaries
E. A. Baderko
S. I. Sakharov
Differential Equations, 2023, 59 : 618 - 628
[33] 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
[34] On the First Initial–Boundary Value Problem for a Model Parabolic System in a Domain with Curvilinear Lateral Boundaries
K. D. Fedorov
Differential Equations, 2021, 57 : 1598 - 1609
[35] Uniqueness of Solutions of the First and Second Initial-Boundary Value Problems for Parabolic Systems in Bounded Domains on the Plane
Baderko, E. A.
Cherepova, M. F.
DIFFERENTIAL EQUATIONS, 2021, 57 (08) : 1010 - 1019
[36] Existence and Uniqueness of the Classical Solution of the First Boundary Value Problem for Parabolic Systems on the Plane
Konenkov, A. N.
DIFFERENTIAL EQUATIONS, 2023, 59 (07) : 904 - 913
[37] Existence and Uniqueness of the Classical Solution of the First Boundary Value Problem for Parabolic Systems on the Plane
A. N. Konenkov
Differential Equations, 2023, 59 : 904 - 913
[38] Coerciveness of the discontinuous initial-boundary value problem for parabolic equations
Mukhtarov, OS
Demir, H
ISRAEL JOURNAL OF MATHEMATICS, 1999, 114 (1) : 239 - 252
[39] A SINGULAR PARABOLIC INITIAL-BOUNDARY VALUE-PROBLEM IN A NON-CYLINDRICAL DOMAIN
ALEXIADES, V
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1980, 11 (02) : 348 - 357
[40] On homogenization of the first initial-boundary value problem for periodic hyperbolic systems
Meshkova, Yu. M.
APPLICABLE ANALYSIS, 2020, 99 (09) : 1528 - 1563

← 1 2 3 4 5 →