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

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