On a non-homogeneous and non-linear heat equation

Luca Bisconti, Matteo Franca

We consider the Cauchy-problem for a parabolic equation of the following type: \begin{equation*} \frac{\partial u}{\partial t}= Δu+ f(u,|x|), \end{equation*} where $f=f(u,|x|)$ is…