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

被引：0
作者：
O. Yu. Chmyr
机构：
[1] Lviv State University of Safety of the Vital Activity,
来源：
Ukrainian Mathematical Journal | 2014年 / 65卷
关键词：
Critical Exponent; Contracting Mapping; Nonlinear Parabolic Equation; Power Singularity; Nonlinear Boundary Condition;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1542 / 1565
页数：23
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