| 抛物型方程初边值问题解的最大模估计 |
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| 引用本文： | 黄守军,段双双.抛物型方程初边值问题解的最大模估计[J].工科数学,2014(3):15-17. |
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| 作者姓名： | 黄守军 段双双 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,芜湖241000 |
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| 基金项目： | 安徽省教育厅自然科学研究重点项目（KJ2010A130）;安徽师范大学本科生优秀毕业论文培育计划项目 |
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| 摘 要： | 通过构造合适函数变换的方法,建立n维抛物型方程第二初边值问题古典解的最大模估计,并由此得到该定解问题解的唯一性和稳定性.
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| 关 键 词： | 抛物型方程 初边值问题 最大模 唯一性 稳定性 |
On the Estimation of Maximal Norm of Classical Solutions to an Initial-boundary Value Problem of Parabolic Equations |
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| HUANG Shou-jun,DUAN Shuang-shuang.On the Estimation of Maximal Norm of Classical Solutions to an Initial-boundary Value Problem of Parabolic Equations[J].Journal of Mathematics For Technology,2014(3):15-17. |
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| Authors: | HUANG Shou-jun DUAN Shuang-shuang |
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| Institution: | (Dapartment of Mathematics, Anhui Normal University, Wuhu, Anhui 241000, China) |
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| Abstract: | By a transformation of unknowns, we are albe to establish the maximal norm of classical solution to the initial-boundary value problem of second type for higher dimensional parabolic equations. Moreover, by this estimation of maximal norm, we can easily obtain the uniqueness and stability of the solution. |
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| Keywords: | parabolic equations initial boundary value problem maximal norm uniqueness stability |
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