English

Age-dependent equations with non-linear diffusion

Analysis of PDEs 2008-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0810.5465,
  title  = {Age-dependent equations with non-linear diffusion},
  author = {Christoph Walker},
  journal= {arXiv preprint arXiv:0810.5465},
  year   = {2008}
}

Comments

19 pages

R2 v1 2026-06-21T11:36:32.920Z