Existence and uniqueness of weak solutions for a multi–phase parabolic equation with L1–weights
We study the initial--boundary value problem\[\partial_t u - \divergence\bigl(\Lambda(\nabla u)\bigr) + \Lambda(u) = f(x,u),\quad u|_{\partial\Omega}=0,\]in a bounded domain $\Omega\subset\R^n$ ($n\ge 3$), where\[\Lambda(\tau)=|\tau|^{p-2}\tau + \sum_{i=1}^l \lambda_i(x)|\tau|^{z_i-2}\tau,\]$1<p<z_i<\min\{n,p^*\}$, $z_...