Geodesic
Existence and uniqueness result for a class of nonlinear parabolic equations with $L^{1}$ data
Kaouther Ammar1 ; Jaouad Bennouna2 ; Hicham Redwane3
1 Department of Mathematics Faculty of Sciences Taibah University 344 Al Madinah Al Munawara, Saudi Arabia
2 Laboratoire LAMA Faculté des Sciences Dhar-Mahraz Département de Mathématiques Université Sidi Mohamed Ben Abdellah B.P. 1796 Atlas Fès, Morocco
3 Faculté des Sciences Juridiques, Économiques et Sociales Université Hassan 1 B.P. 764, Settat, Morocco
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 141-148

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.
DOI : 10.4064/am41-2-2
Keywords: prove existence uniqueness renormalized solution class nonlinear parabolic equations growth assumption nonlinearities

Kaouther Ammar 1 ; Jaouad Bennouna 2 ; Hicham Redwane 3

1 Department of Mathematics Faculty of Sciences Taibah University 344 Al Madinah Al Munawara, Saudi Arabia
2 Laboratoire LAMA Faculté des Sciences Dhar-Mahraz Département de Mathématiques Université Sidi Mohamed Ben Abdellah B.P. 1796 Atlas Fès, Morocco
3 Faculté des Sciences Juridiques, Économiques et Sociales Université Hassan 1 B.P. 764, Settat, Morocco 
@article{10_4064_am41_2_2,
     author = {Kaouther Ammar and Jaouad Bennouna and Hicham Redwane},
     title = {Existence and uniqueness result for a class
 of nonlinear parabolic equations with $L^{1}$ data},
     journal = {Applicationes Mathematicae},
     pages = {141--148},
     publisher = {mathdoc},
     volume = {41},
     number = {2-3},
     year = {2014},
     doi = {10.4064/am41-2-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am41-2-2/}
}
TY  - JOUR
AU  - Kaouther Ammar
AU  - Jaouad Bennouna
AU  - Hicham Redwane
TI  - Existence and uniqueness result for a class
 of nonlinear parabolic equations with $L^{1}$ data
JO  - Applicationes Mathematicae
PY  - 2014
SP  - 141
EP  - 148
VL  - 41
IS  - 2-3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am41-2-2/
DO  - 10.4064/am41-2-2
LA  - en
ID  - 10_4064_am41_2_2
ER  - 
%0 Journal Article
%A Kaouther Ammar
%A Jaouad Bennouna
%A Hicham Redwane
%T Existence and uniqueness result for a class
 of nonlinear parabolic equations with $L^{1}$ data
%J Applicationes Mathematicae
%D 2014
%P 141-148
%V 41
%N 2-3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am41-2-2/
%R 10.4064/am41-2-2
%G en
%F 10_4064_am41_2_2
Kaouther Ammar; Jaouad Bennouna; Hicham Redwane. Existence and uniqueness result for a class
 of nonlinear parabolic equations with $L^{1}$ data. Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 141-148. doi: 10.4064/am41-2-2

Cité par Sources :