Abstract
In this paper we consider a class of nonlinear parabolic problems whose model is (*) (see pdf-file). Using time discretization technique and Rothe method we prove existence and uniqueness results for bounded weak solutions.
Використовуючи техніку дискретизації за часом та метод Рота,
доведено існування та єдиність слабкого обмеженого розв'язку для
нелінійних параболічних задач вигляду (*).
Key words: Nonlinear parabolic problem, Existence, weak solution, semi-discretization, uniqueness, Rothe method.
Full Text
Article Information
| Title | Rothe time-discretization method for Nolinear Parabolic Problems |
| Source | Methods Funct. Anal. Topology, Vol. 28 (2022), no. 1, 41-49 |
| MathSciNet |
MR4459182 |
| Milestones | Received 18/04/2021; Revised 02/04/2022 |
| Copyright | The Author(s) 2022 (CC BY-SA) |
Authors Information
N. Elharrar
Labo Math Appli, Faculty of Sciences, B. P. 20, El Jadida, Morocco.
J. Igbida
Labo DGTIC, Department of Mathematics, CRMEF Casablanca-Settat, El Jadida, Morocco.
H. Talibi
Labo Math Appli, Faculty of Sciences, B. P. 20, El Jadida, Morocco.
Citation Example
N. Elharrar, J. Igbida, and H. Talibi, Rothe time-discretization method for Nolinear Parabolic Problems, Methods Funct. Anal. Topology 28
(2022), no. 1, 41-49.
BibTex
@article {MFAT1724,
AUTHOR = {N. Elharrar and J. Igbida and H. Talibi},
TITLE = {Rothe time-discretization method for Nolinear Parabolic Problems},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {28},
YEAR = {2022},
NUMBER = {1},
PAGES = {41-49},
ISSN = {1029-3531},
MRNUMBER = {MR4459182},
URL = {http://mfat.imath.kiev.ua/article/?id=1724},
}
