A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient
Joint Authors
Quan, Pham Hoang
Trong, Dang Duc
Triet, Le Minh
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-17
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We study the backward problem with time-dependent coefficient which is a severely ill-posed problem.
We regularize this problem by combining quasi-boundary value method and quasi-reversibility method and then obtain sharp error estimate between the exact solution and the regularized solution.
A numerical experiment is given in order to illustrate our results.
American Psychological Association (APA)
Quan, Pham Hoang& Triet, Le Minh& Trong, Dang Duc. 2012. A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-510216
Modern Language Association (MLA)
Quan, Pham Hoang…[et al.]. A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-510216
American Medical Association (AMA)
Quan, Pham Hoang& Triet, Le Minh& Trong, Dang Duc. A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-510216
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510216