摘要
考虑齐次热传导方程的初边值问题,通过对形式级数解的性质的研究,得到了在连续初值条件下热传导方程的古典解的存在性证明.
This paper considered the initial boundary value problem for homogeneous heat conduction equation. By studying the property of the formal series solution, it proved that the classical solution of heat conduction Equation with continuous initial value is existence.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第18期203-209,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(10871016)
北京市教育委员会共建项目专项资助
关键词
热传导方程
连续初值条件
形式级数解
古典解
heat conduction equation
continuous initial value condition
formal series solution
classical solution