Interior Hölder continuity for singular-degenerate porous medium type equations with an application to a biofilm model

We show interior Hölder continuity for a class of quasi-linear degenerate reaction-diffusion equations. The diffusion coefficient in the equation has a porous medium type degeneracy and its primitive has a singularity. The reaction term is locally bounded except in zero. The class of equations we an...

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Veröffentlicht in:	Journal of evolution equations 2022-12, Vol.22 (4), Article 92
1. Verfasser:	Hissink Muller, Victor
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Biofilms Continuity (mathematics) Diffusion coefficient Mathematical models Mathematics Mathematics and Statistics Porous media Reaction-diffusion equations Singularity (mathematics) Topology
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