On Boundary and Initial Values of Solutions of a Second-Order Parabolic Equation That Degenerate on the Domain Boundary

被引：0

作者：

Petrushko, I. M. ^{[1
]}

机构：

[1] Moscow Power Engn Inst, Moscow 111250, Russia

来源：

DOKLADY MATHEMATICS | 2017年 / 96卷 / 03期

关键词：

ELLIPTIC EQUATION;

D O I：

10.1134/S1064562417060084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Properties of the solutions of a parabolic equation in the case of a Keldysh-type degeneracy on the boundary of the domain are investigated. The unique solvability of the first mixed problem for this equation is studied. Necessary and sufficient conditions for the existence of limits of the solution on the lateral surface of a cylindrical domain and on its lower base in L-2-type spaces are found.

引用

页码：568 / 570

页数：3

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