Document Type : Review articles

Authors

• Ghita Erriahi Elidrissi ¹
• Elhoussine Azroul ¹
• Lamrani Alaoui Abdelilah ²

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

Abstract

In  this paper, we are concerned with the  existence  of renormalized solution for a  nonlinear periodic  parabolic problem associated to the equation
$$\frac{\partial u}{\partial t}-A(u)+g(x,t,u,\mathrm{\nabla }u)=f\in L^1$$
where  $A(u)$ is the  m-Laplacian operator defined on $W_0^{1,x}{L}_M(\mathcal{Q})$.

Keywords

• Periodic solutions
• Orlicz space
• Renormalized solutions
• $L^1$ data
• Weak solutions
• 35B10
• 35K55