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

Zhan Chen; Zhong Tan

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

Zhan Chen
, Zhong Tan

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Northeastern Mathematical Journal
Volume	21
State	Published - 2005

Disciplines

Mathematics

Keywords

Continuous dependence
Forward and backward in time
Improperly posed problem
Initial-time geometry

Cite this

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title = "Continuous Dependence on the Initial-Time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data",

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.",

keywords = "Continuous dependence, Forward and backward in time, Improperly posed problem, Initial-time geometry",

author = "Zhan Chen and Zhong Tan",

note = "Author(s): Pages: 105-116Keyword: Abstract: improperly posed problem; continuous dependence; initial-time geometry; forward and backward in time; 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.",

year = "2005",

language = "American English",

volume = "21",

journal = "Northeastern Mathematical Journal",

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T1 - Continuous Dependence on the Initial-Time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data

AU - Chen, Zhan

AU - Tan, Zhong

N1 - Author(s): Pages: 105-116Keyword: Abstract: improperly posed problem; continuous dependence; initial-time geometry; forward and backward in time; 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.

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - Continuous dependence

KW - Forward and backward in time

KW - Improperly posed problem

KW - Initial-time geometry

UR - http://caod.oriprobe.com/articles/587691/Continuous_Dependence_on_the_Initial_time_Geometry_for_a_Parabolic_Equ.htm

M3 - Article

VL - 21

JO - Northeastern Mathematical Journal

JF - Northeastern Mathematical Journal

ER -

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

Abstract

Disciplines

Keywords

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