A boundary modulus of continuity for a class of singular parabolic equations
type: Item
instance of: scholarly article
title: A boundary modulus of continuity for a class of singular parabolic equations
zbMATH Open document ID: 0606.35044
DOI: 10.1016/0022-0396(86)90064-1
author: Emmanuele DiBenedetto
published in: Journal of Differential Equations
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 3979615
zbMATH Keywords: singular parabolic equations
zbMATH Keywords: divergence form
zbMATH Keywords: non-homogeneous Dirichlet data
zbMATH Keywords: continuity
zbMATH Keywords: weak solutions
zbMATH Keywords: maximal monotone operators
zbMATH Keywords: diffusion with changes of phases
reviewed by: John F. Toland
MaRDI profile type: Publication
full work available at URL: 0022-0396(86)90064-1
OpenAlex ID: W2029251209
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description: scientific article; zbMATH DE number 3979615