Existence of solutions to a periodic parabolic problem with Orlicz growth and $L^{1}$ data
نویسندگان
1 Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar el Mahraz, Laboratory of Mathematical Analysis and Applications, Fez, Morocco
2 CRMEF F\es, Morocco
3 Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar el Mahraz, Laboratory of Mathematical Analysis and Applications, Fez, Morocco
doi
10.22075/ijnaa.2022.28570.3933چکیده
In this paper, we are concerned with the existence of renormalized solution for a nonlinear periodic parabolic problem associated to the equation\begin{equation}\frac{\partial u}{\partial t}-A(u)+g(x,t,u,\nabla u)=f\in L^{1} \end{equation}where $A(u)$ is the m-Laplacian operator defined on $ W^{1,x}_{0}L_{M}(\mathcal{Q})$.
