SOLVABILITY OF THE FIRST BOUNDARY-VALUE PROBLEM FOR THE HEAT-CONDUCTION EQUATION WITH NONLINEAR SOURCES AND STRONG POWER SINGULARITIES

O. Yu. Chmyr

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SOLVABILITY OF THE FIRST BOUNDARY-VALUE PROBLEM FOR THE HEAT-CONDUCTION EQUATION WITH NONLINEAR SOURCES AND STRONG POWER SINGULARITIES

机译：非线性和强功率奇异性的热传导方程第一类边值问题的可解性

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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 heatconduction equation with nonlinear boundary conditions. We establish sufficient conditions for the solvability of the analyzed problem.

机译：通过使用Schauder原理和压缩映射原理，研究了具有非线性边界条件的热传导方程的广义第一边值问题解的点幂奇点性。我们为分析问题的可解决性建立了充分的条件。

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来源
《Ukrainian mathematical journal》 |2014年第10期|共24页
作者
O. Yu. Chmyr;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
SOLVABILITY; FIRST BOUNDARY-VALUE PROBLEM; HEAT-CONDUCTION;

机译：可溶性;第一类边值问题;导热;

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1. SOLVABILITY OF THE FIRST BOUNDARY-VALUE PROBLEM FOR THE HEAT-CONDUCTION EQUATION WITH NONLINEAR SOURCES AND STRONG POWER SINGULARITIES [J] . O. Yu. Chmyr Ukrainian mathematical journal . 2014,第10期

机译：非线性和强功率奇异性的热传导方程第一类边值问题的可解性
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SOLVABILITY OF THE FIRST BOUNDARY-VALUE PROBLEM FOR THE HEAT-CONDUCTION EQUATION WITH NONLINEAR SOURCES AND STRONG POWER SINGULARITIES

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