Existence and regularity results for nonlinear anisotropic degenerate parabolic equations

In this paper, we study the existence and regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with degenerate coercivity and \(L^m\) $L^m$ data, where \(m>1\) $m>1$ . Our approach is based on approximating the initial problem with a non-degenerate problem that is well-posed. We then establish the necessary estimates to pass to the limit.