| 具有不同初值的Dynamo抛物方程对初始时刻几何的连续依赖性 |
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| 引用本文： | 陈展,谭忠. 具有不同初值的Dynamo抛物方程对初始时刻几何的连续依赖性[J]. 东北数学, 2005, 21(1): 105-116 |
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| 作者姓名： | 陈展 谭忠 |
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| 作者单位： | Department of Mathematics Xiamen University，Xiamen，361005，Department of Mathematics Xiamen University，Xiamen，361005 |
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| 摘 要： | In this paper, we derive the continuous dependence on the initial-time geometry for the solution of a parabolic equation from dynamo theory. The forward in time problem and backward in time problem are considered. An explicit continuous dependence inequality is obtained even with different prescribed data.
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| 关 键 词： | 连续相关 初时几何学 抛物线方程 偏微分 |
Continuous Dependence on the Initial-time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data |
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| CHEN Zhan,Tan Zhong. Continuous Dependence on the Initial-time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data[J]. Northeastern Mathematical Journal, 2005, 21(1): 105-116 |
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| Authors: | CHEN Zhan Tan Zhong |
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| Affiliation: | DepartmentofMathematics,XiamenUniversity,Xiamen,361005 |
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| Abstract: | In this paper, we derive the continuous dependence on the initial-time geometry for the solution of a parabolic equation from dynamo theory. The forward in time problem and backward in time problem are considered. An explicit continuous dependence inequality is obtained even with different prescribed data. |
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| Keywords: | improperly posed problem continuous dependence initial-time geometry forward and backward in time |
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