Continuous dependence on modeling for some well-posed perturbations of the backward heat equation

Continuous dependence on modeling for some well-posed perturbations of the backward heat equation

<p/> <p>Four different well-posed regularizations of the improperly posed Cauchy problem for the backward heat equation are investigated in order to determine whether solutions of these problems depend continuously on a perturbation parameter. Using differential inequality techniques, we...

Full description

Bibliographic Details
Main Authors: Payne LE, Ames KA
Format: Article
Language:English
Published: SpringerOpen 1999-01-01
Series:Journal of Inequalities and Applications
Subjects:
Continuous dependence
Modeling
Differential inequalities
Regularization
Backward heat equation
Online Access:http://www.journalofinequalitiesandapplications.com/content/3/427429
id doaj-2fc6c3916e8647a1be7faedf460a49be
record_format Article
spelling doaj-2fc6c3916e8647a1be7faedf460a49be2020-11-24T20:47:26ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1999-01-0119991427429Continuous dependence on modeling for some well-posed perturbations of the backward heat equationPayne LEAmes KA<p/> <p>Four different well-posed regularizations of the improperly posed Cauchy problem for the backward heat equation are investigated in order to determine whether solutions of these problems depend continuously on a perturbation parameter. Using differential inequality techniques, we derive results implying continuous dependence in each case.</p>http://www.journalofinequalitiesandapplications.com/content/3/427429Continuous dependenceModelingDifferential inequalitiesRegularizationBackward heat equation
collection DOAJ
language English
format Article
sources DOAJ
author Payne LE
Ames KA
spellingShingle Payne LE
Ames KA
Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
Journal of Inequalities and Applications
Continuous dependence
Modeling
Differential inequalities
Regularization
Backward heat equation
author_facet Payne LE
Ames KA
author_sort Payne LE
title Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
title_short Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
title_full Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
title_fullStr Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
title_full_unstemmed Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
title_sort continuous dependence on modeling for some well-posed perturbations of the backward heat equation
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 1999-01-01
description <p/> <p>Four different well-posed regularizations of the improperly posed Cauchy problem for the backward heat equation are investigated in order to determine whether solutions of these problems depend continuously on a perturbation parameter. Using differential inequality techniques, we derive results implying continuous dependence in each case.</p>
topic Continuous dependence
Modeling
Differential inequalities
Regularization
Backward heat equation
url http://www.journalofinequalitiesandapplications.com/content/3/427429
work_keys_str_mv AT paynele continuousdependenceonmodelingforsomewellposedperturbationsofthebackwardheatequation
AT ameska continuousdependenceonmodelingforsomewellposedperturbationsofthebackwardheatequation
_version_ 1716810061223821312

Similar Items