摘要
利用热传导方程初值问题的求解公式,给出了齐次热传导方程初值问题的解是解析函数的证明.对于热传导方程初边值问题,利用求解公式,通过估计各阶偏导数,给出了齐次热传导方程初边值问题的解是解析函数的证明.
With the solution formula of the initial value problem for the heat conduction equation,this paper proves that the solution of the initial value problem for the homogeneous heat conduction equation is an analytical function.With the formula and a estimation of the partial derivation of each order,this paper gives the method to prove that the solution to the initial boundary value problem of homogeneous heat conduction equation is an analytical function.
作者
邢家省
杨义川
吴桑
XING Jiasheng;YANG Yichuan;WU Sang(School of Mathematics and Systems Science, Beihang University, Beijing 100191, China;LMIB of the Ministry of Education, Beihang University, Beijing 100191, China)
出处
《吉首大学学报（自然科学版）》
CAS
2020年第3期1-5,共5页
Journal of Jishou University(Natural Sciences Edition)
基金
国家自然科学基金资助项目(11771004)
北京航空航天大学校级重大教改项目(北航培育项目201901—202112)。
关键词
热传导方程
解析函数
初值问题
初边值问题
heat conduction equation
analytical function
initial value problem
initial boundary value problem
