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arxiv: 0810.5465 · v1 · submitted 2008-10-30 · 🧮 math.AP

Age-dependent equations with non-linear diffusion

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keywords diffusionnon-linearabstractage-dependentapproachariseboundaryconditions
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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 depicted with examples.

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