Gradient bounds for strongly singular or degenerate parabolic systems

Pasquale Ambrosio, Fabian Bäuerlein

We consider weak solutions $u:{\Omega }_T\to {\mathbb{R}}^N$ to parabolic systems of the type \[ u_{t}-\mathrm{div}\,A(x,t,Du)=f \qquad \mathrm{in}\ Ω_{T}=Ω\times(0,T), \] where $…