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Age-dependent equations with non-linear diffusion

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  • We consider the well-posedness of models involving age structure and non-linear diffusion. Such problems arise in the study of population dynamics. It is shown how diffusion and age boundary conditions can be treated that depend non-linearly and possibly non-locally on the density itself. The abstract approach is applied to concrete examples.
    Mathematics Subject Classification: Primary: 35M10, 35K90; Secondary: 92D25.

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