|本期目录/Table of Contents|

[1]陈美珍,潘佳庆.一类非线性抛物方程Cauchy问题解的逼近性质[J].集美大学学报(自然科学版),2013,18(6):476-480.
　CHEN Mei-zhen,PAN Jia-qing.The Approximation Properties of Solutions to a Class of Nonlinear Parabolic Equation with the Cauchy Problem[J].Journal of Jimei University,2013,18(6):476-480.
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一类非线性抛物方程Cauchy问题解的逼近性质(PDF)
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第18卷
期数:
2013年第6期
页码:
476-480
栏目:
数理科学与信息工程
出版日期:
2013-11-25

文章信息/Info

Title:
The Approximation Properties of Solutions to a Class of Nonlinear Parabolic Equation with the Cauchy Problem
作者:
陈美珍; 潘佳庆
(集美大学理学院,福建 厦门 361021)
Author(s):
CHEN Mei-zhen; PAN Jia-qing
(School of Science,Jimei University,Xiamen 361021, China)
关键词:
源型解; 卷积; 误差估计
Keywords:
source type solution; convolution; error estimate
分类号:
-
DOI:
-
文献标志码:
-
摘要:
］利用基本解与初值的卷积来构造非线性方程的解, 用卷积结果来逼近其真解, 并运用Holder不等式和Taylor展开式给出了卷积结果与真解之间的误差
Abstract:
The approximation properties of solutions of nonlinear parabolic equation with an approximation solution constructed by convolution with basic solution and initial value were discussed.Moreover,the error estimate between approximation solution and the real one was given by H older inequality and Taylor expansion.

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更新日期/Last Update: 2014-06-28