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

Zhan Chen, Zhong Tan

Research output: Contribution to journalArticlepeer-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 languageAmerican English
JournalNortheastern Mathematical Journal
Volume21
StatePublished - 2005

Keywords

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

DC Disciplines

  • Mathematics

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