离散和连续型嵌入定理的注记  

Notes of Embedding Theorem in Continuous Case and Discrete Case

作　　者：蔡炯坚 张启峰[1] 徐映红[1] CAI Jiong jian;ZHANG Qi feng;XU Ying hong(Department of Mathematics School of Science, Zhejiang Sci Tech University, Hangzhou 310018, China)

机构地区：[1]浙江理工大学理学院数学系,杭州310018

出　　处：《大学数学》2018年第2期72-74,共3页College Mathematics

基　　金：国家自然科学基金(11501514);浙江理工大学课堂教学改革项目(kg201702);浙江省教育厅课堂教学改革项目(kg2015120)

摘　　要：针对偏微分方程数值解教材中的离散型和连续性嵌入定理,本文首先给出了一个经典的证明方法,然后分别给出了一种新的证明方法,该证明对偏微分方程数值解的教学和科研工作有一定的意义.We first give a classical method to prove the embedding theorem for continuous cases and discrete cases And then, we prove the theorem by a new method for continuous cases and discrete cases, respectively. The method wi be beneficial to teaching and research of the numerical solution of partial differential equations.

关 键 词：嵌入定理 偏微分方程数值解 连续型 离散型 

分 类 号：O211.82[理学—概率论与数理统计]