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Article
Continuous Dependence on the Initial-Time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data
Northeastern Mathematical Journal (2005)
  • Zhan Chen, Georgia Southern University
  • Zhong Tan
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/