 |
Université d'Orléans |  |
|
Université d'Orléans | |
| HAL : hal-00431878, version 1 |
| arXiv : 0911.2605 |
| Fiche détaillée |  Récupérer au format |
 |
|
|
| A new stability results for the backward heat equation |
|
|
| Alain Pham Ngoc Dinh 1Dang Duc Trong 2 |
|
|
| (2009) |
|
|
|
| In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained. Meanwhile, some quite sharp error estimates between the approximate solution and exact solution are provided. Especially, the optimal convergence of the approximate solution at t = 0 is also proved. This work extends to many earlier results in (f2,f3, hao1,Quan,tau1, tau2, Trong3,x1). |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
|
|
|
Université d'Orléans – CNRS : UMR7349 |
|
|
| 2 : | University of Natural Sciences- HoChiMinh City (UNS-HCMC) |
|
|
|
University of Natural Sciences- HoChiMinh City |
|
|
| 3 : | Mathematics department |
|
|
|
Sai Gon University, Ho Chi Minh city |
|
|
| 4 : | Department of Mathematics and Informatics |
|
|
|
Ton Duc Thang University |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Equations aux dérivées partielles |
|
|
| Backward heat problem – Ill-posed problem – Fourier Transform – Contraction principle. |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00431878, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00431878 | |
| oai:hal.archives-ouvertes.fr:hal-00431878 | |
| Contributeur : Alain Pham Ngoc Dinh | |
| Soumis le : Vendredi 13 Novembre 2009, 13:40:06 | |
| Dernière modification le : Vendredi 13 Novembre 2009, 13:56:28 | |
