Author(s):
Urbano, José Miguel 
Date: 2000
Persistent ID: http://hdl.handle.net/10316/11478
Origin: Estudo Geral - Universidade de Coimbra
Document details
A singular-degenerate parabolic problem: regularity up to the Dirichlet boundary
Description
We show that weak solutions of a free boundary problem, modeling a waterice phase transition in the case of nonlinear heat diffusion, are continuous up to the lateral boundary. We consider homogeneous Dirichlet boundary conditions and assume that the lateral boundary of the space-time domain satisfies the property of positive geometric density. The results are a follow up from recent results by the author concerning the interior regularity.
We show that weak solutions of a free boundary problem, modeling a waterice phase transition in the case of nonlinear heat diffusion, are continuous up to the lateral boundary. We consider homogeneous Dirichlet boundary conditions and assume that the lateral boundary of the space-time domain satisfies the property of positive geometric density. The results are a follow up from recent results by the author concerning the interior regularity.
Document Type
Preprint
Language English
Language English
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