Continuous Dependence on the Initial-time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data

Continuous Dependence on the Initial-time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data

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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. 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.

作者陈展谭忠

机构地区 Department of Mathematics Xiamen University

出处《Northeastern Mathematical Journal》 CSCD 2005年第1期105-116,共12页 东北数学（英文版）

基金 The NSF (10171083) of China.

关键词 improperly posed problem continuous dependence initial-time geometry forward and backward in time improperly posed problem, continuous dependence, initial-time geometry, forward and backward in time

分类号 O181 [理学—基础数学]

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Northeastern Mathematical Journal

2005年第1期

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Continuous Dependence on the Initial-time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data

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