All Questions

I know that the problem \begin{equation} \Delta_p u = f \end{equation} make sense if $f \in L^q$ with $n/p<q<n$ and that is there a existence theory for $$ u_t -\Delta_p u = f $$ For a given ...

Given a parabolic equation on a simply connected smooth domain $\Omega(t)$ with boundary $\Gamma(t)$ $$ \Delta u = 1 \quad on \quad \Omega(t) \\ \nabla u \cdot n + u = g \quad on \quad \Gamma(t) $$ (...