一类抛物方程的广义解  

Generalized Solutions of a Class of Parabolic Equations

作　　者：李悦[1] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《通化师范学院学报》2014年第12期34-36,39,共4页Journal of Tonghua Normal University

摘　　要：文中讨论了一类抛物方程非齐次边值问题的解法,利用变量替换法将非齐次边值问题转化为齐次边值问题,运用Rothe方法证明了其解的存在唯一性.This paper discusses the solution about a class of Parabolic Equations with non-homogeneous boundary value problem,using the method of variable substitution to transform the non-homogeneous boundary value problem into a homogeneous boundary value problem,and using the Rothe methods to prove the existence and uniqueness of the solution.

关 键 词：非齐次边值问题 Rothe方法 变量替换 

分 类 号：O175[理学—数学]