We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.
@article{bwmeta1.element.bwnjournal-article-doi-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}, volume = {41}, year = {2014}, pages = {141-148}, zbl = {1327.35204}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-2} }
Kaouther Ammar; Jaouad Bennouna; Hicham Redwane. Existence and uniqueness result for a class of nonlinear parabolic equations with L¹ data. Applicationes Mathematicae, Tome 41 (2014) pp. 141-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-2/