A result of differentiability of nonlinear parabolic systems under monotonicity hypothesis (Q810271)

The author proves local regularity results for weak solutions of the nonlinear parabolic system \[ -\sum^{n}_{j=1}D_ ja^ j(x,u,Du)+\partial u/\partial t=B(x,u,Du) \] in case the coefficients \(a^ j(x,u,p)\), \((x,u,p)\in Q\times {\mathbb{R}}^ N\times {\mathbb{R}}^{nN}\) are uniformly monotone in p.