I'm trying to a numerical simulation based on this article where they're studying the problem:
$$ \begin{cases}\frac{\partial u}{\partial t}-\Delta_{p} u=f & \text { in } \left.Q_{T}:=\right] 0, T[\times \Omega \\ u(0, \cdot)=u(T, \cdot) & \text { in } \Omega \\ u=0 & \text { on } \left.\Sigma_{T}:=\right] 0, T[\times \partial \Omega\end{cases} $$
Anyone have any examples for a suitable function $ f $ such that $ f $ is a measurable function periodic in time with period T and belonging to $ L^1 (Q_T) $ ? And can you point me to some articles where the numerical analysis of such problems is studied ? Thanks !