Article
Continuous Dependence on the Initial-Time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data
Northeastern Mathematical Journal
(2005)
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
- Improperly posed problem,
- Continuous dependence,
- Initial-time geometry,
- Forward and backward in time
Disciplines
Publication Date
2005
Citation Information
Zhan Chen and Zhong Tan. "Continuous Dependence on the Initial-Time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data" Northeastern Mathematical Journal Vol. 21 Iss. 1 (2005) p. 105 - 116 ISSN: 1000-1778 Available at: http://works.bepress.com/zhan_chen/27/