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A boundary modulus of continuity for a class of singular parabolic equations. (English) Zbl 0606.35044
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.
Reviewer: J.Toland

MSC:
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35K65 Degenerate parabolic equations
35K10 Second-order parabolic equations
35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
35K57 Reaction-diffusion equations
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