一类线性抛物型方程组弱解存在性证明  

Proof of existence of weak solutions for a class of linear parabolic equations

作　　者：旷雨阳[1] 王太荣[1] 李兴华[1] KUANG Yuyang;WANG Tairong;LI Xinghua(College of Mathematics and Computer Science, Anshun University, Anshun 561000, Guizhou, China)

机构地区：[1]安顺学院数学与计算机科学学院,贵州安顺561000

出　　处：《华中师范大学学报（自然科学版）》2022年第3期407-412,共6页Journal of Central China Normal University：Natural Sciences

基　　金：贵州省科学技术基金项目(202142989049911574).

摘　　要：采用Galerkin方法证明一类线性抛物型方程组弱解的存在性,先构造逼近解,再对逼近解做估计,然后对逼近解取极限,通过取极限证明了此线性抛物型方程组弱解存在性.The existence of weak solutions for a class of linear parabolic equations was proved by Galerkin method.Firstly,the approximate solution was constructed,and then the approximate solution was estimated,and then the limit of the approximate solution was taken.By taking the limit,the existence of weak solutions for this linear parabolic equations was proved.

关 键 词：线性抛物型方程组 弱解 GALERKIN方法 逼近解 

分 类 号：O175.26[理学—数学]