A boundary modulus of continuity for a class of singular parabolic equations
Nonlinear singular parabolic equations with principal part in divergence form and with non-homogeneous Dirichlet data assigned on the parabolic boundary are studied with a view to establishing continuity up to the boundary of weak solutions. This continuity is estimated in terms of a modulus which can be estimated from the data. The equations, which involve maximal monotone operators, are of the type which model diffusion with changes of phases.
scientific article; zbMATH DE number 3979615