Abstract: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.
旷雨阳,王太荣,李兴华. 一类线性抛物型方程组弱解存在性证明[J]. 华中师范大学学报(自然科学版), 2022, 56(3): 407-412.
KUANG Yuyang,WANG Tairong,LI Xinghua. Proof of existence of weak solutions for a class of linear parabolic equations. journal1, 2022, 56(3): 407-412.