Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients

We study the well-posed ness of discontinuous entropy solutions to quasilinear anisotropic degenerate parabolic equations with explicit (t,x)-dependence: ∂tu + ∑i=1d ∂xifi(u,t,x) = ∑i,j=1d ∂xj (aij (u,t,x)∂xi u), where a(u,t,x) = (aij(u,t,x)) = σa(u,t,x) σa(u,t,x)T is nonnegative definite and each x...