Solenoidal Lipschitz truncation for parabolic PDE's

D. Breit, L. Diening, S. Schwarzacher

We consider functions $u\in L^{\infty }(L^2)\cap L^p(W^{1,p})$ with $1<p<\infty$ on a time space domain. Solutions to non-linear evolutionary PDE's typically belong to these spaces. M…