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

Mathematics

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