ESTIMATES OF THE ERROR IN THE INITIAL-TIME GEOMETRY FOR A PARABOLIC EQUATION FROM DYNAMO THEORY

Authors
AMES KA STRAUGHAN B
Citation
Ka. Ames et B. Straughan, ESTIMATES OF THE ERROR IN THE INITIAL-TIME GEOMETRY FOR A PARABOLIC EQUATION FROM DYNAMO THEORY, Journal of differential equations, 123(1), 1995, pp. 153-170
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
123
Issue
1
Year of publication
1995
Pages
153 - 170
Database
ISI
SICI code
0022-0396(1995)123:1<153:EOTEIT>2.0.ZU;2-K
Abstract
Continuous dependence on the initial-time geometry is derived for the solution of a parabolic equation from dynamo theory. Both the forward in time and the improperly posed backward in time problems are conside red. For the former case, explicit continuous dependence inequalities are obtained while in the latter similar results are established provi ded solutions satisfy the appropriate constraints. (C) 1995 Academic P ress, Inc.