On the time derivative of degenerated parabolic PDEs
Abstract:
In my talk I will discuss regularity estimates for time derivatives of a large class of nonlinear parabolic partial differential systems. This includes the instationary (symmetric) p-Laplace system as well as models for non Newtonien fluids of powerlaw or Carreau type. By the use of special weak different quotients, adapted to the variational structure it is possible to get fractional derivatives of u_t in time and space direction.