Existence of a Renormalized Solution to an Anisotropic Parabolic Problem for an Equation with Diffuse Measure

详细

The first initial-boundary value problem is considered for a class of anisotropic parabolic equations with variable nonlinearity exponents and a diffuse measure on the right-hand side in a cylindrical domain (0, T) × Ω. The domain Ω is bounded. The existence of a renormalized solution is proved.