Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 6-7
133
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

A nonlinearly backward heat problem: uniqueness, regularization and error estimate

&
Pages 641-657 | Accepted 05 Oct 2005, Published online: 28 Nov 2010

References

  • Ames , KA . 2000 . Continuous dependence on modelling and non-existence results for a Ginzburg-Landau equation . Mathematical Methods in Applied Sciences , 23 : 1537 – 1550 .
  • Ames , KA and Hughes , RJ . 2005 . Structural stability for ill-posed problems in Banach spaces . Semigroup Forum , 70 : 127 – 145 .
  • Clark , G and Oppenheimer , C . 1994 . Quasireversibility methods for non-well-posed problem . Electronic Journal of Differential Equations , 8 : 1 – 9 .
  • Friedman , A . 1964 . Partial Differential Equations of Parabolic type , Englewood Cliffs, NJ : Prentice-Hall .
  • Lattes , R and Lions , JL . 1967 . Methode de Quasi-Reversibilité et Applications , Paris : Dunod .
  • Miller , K . 1973 . “ Stabilized quasi-reversibility and other nearly-best-possible methods for non-well-posed problems ” . In Symposium on Non-Well-Posed Problems and Logarithmic Convexity , Vol. 316 , 161 – 176 . Edinburgh : Heriot-Watt University . Lecture Notes in Mathematics, (Berlin: Springer)
  • Matsuura , T , Saitoh , S and Trong , DD . 2005 . Approximate and analytical inversion formulas in heat conduction on multidimensional spaces . J. Inverse and Ill-posed Problems , Accepted for publication in
  • Quan , PH and Dung , N . 2005 . A backward nonlinear heat equation: regularization with error estimates . Applicable Analysis , 84 ( 4 ) : 343 – 355 .
  • Trong , DD , Quan , PH , Khanh , TV and Tuan , NH . 2005 . A nonlinear case of the 1-D backward heat problem: Regularization and error estimate (Submitted to ZAA) .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.