A modified quasi-boundary value method for an abstract ill-posed biparabolic problem

Khelili Besma, Boussetila Nadjib, and Rebbani Faouzia. "A modified quasi-boundary value method for an abstract ill-posed biparabolic problem." Open Mathematics 15.1 (2017): 1649-1666. <http://eudml.org/doc/288588>.

@article{KheliliBesma2017,
abstract = {In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to construct approximate stable solutions for the original ill-posed boundary value problem. Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact solution. Moreover, numerical tests are presented to illustrate the accuracy and efficiency of this method.},
author = {Khelili Besma, Boussetila Nadjib, Rebbani Faouzia},
journal = {Open Mathematics},
keywords = {Ill-posed problems; Biparabolic problem; Regularization},
language = {eng},
number = {1},
pages = {1649-1666},
title = {A modified quasi-boundary value method for an abstract ill-posed biparabolic problem},
url = {http://eudml.org/doc/288588},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Khelili Besma
AU - Boussetila Nadjib
AU - Rebbani Faouzia
TI - A modified quasi-boundary value method for an abstract ill-posed biparabolic problem
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1649
EP - 1666
AB - In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to construct approximate stable solutions for the original ill-posed boundary value problem. Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact solution. Moreover, numerical tests are presented to illustrate the accuracy and efficiency of this method.
LA - eng
KW - Ill-posed problems; Biparabolic problem; Regularization
UR - http://eudml.org/doc/288588
ER -