| 一类线性抛物型方程组弱解存在性证明 |
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| 引用本文： | 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. |
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| 作者姓名： | 旷雨阳 王太荣 李兴华 |
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| 作者单位： | (安顺学院数学与计算机科学学院， 贵州 安顺 561000) |
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| 基金项目： | 贵州省科学技术基金项目(202142989049911574)； |
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| 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.
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| 关 键 词： | 线性抛物型方程组 弱解 Galerkin方法 逼近解 |
| 收稿时间： | 2022-06-13 |
Proof of existence of weak solutions for a class of linear parabolic equations |
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| KUANG Yuyang,WANG Tairong,LI Xinghua.Proof of existence of weak solutions for a class of linear parabolic equations[J].Journal of Central China Normal University(Natural Sciences),2022,56(3):407-412. |
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| Authors: | KUANG Yuyang WANG Tairong LI Xinghua |
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| Institution: | (College of Mathematics and Computer Science， Anshun University， Anshun 561000， Guizhou， China) |
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| 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. |
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| Keywords: | linear parabolic equations weak solution Galerkin method approximate solution |
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