Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities

被引：0

作者：

Chmyr, O. Yu. ^{[1
]}

机构：

[1] Lviv State Univ Safety Vital Act, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2014年 / 65卷 / 10期

关键词：

EXPONENTS;

D O I：

10.1007/s11253-014-0877-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Schauder principle and the principle of contracting mappings, we study the character of point power singularities for the solution of the generalized first boundary-value problem for the heat-conduction equation with nonlinear boundary conditions. We establish sufficient conditions for the solvability of the analyzed problem.

引用

页码：1542 / 1565

页数：24

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