Age-dependent equations with non-linear diffusion

Christoph Walker

doi:10.3934/dcds.2010.26.691

Article Contents

2010, Volume 26, Issue 2: 691-712. Doi: 10.3934/dcds.2010.26.691

This issue Previous Article Radial solutions for Neumann problems with $\phi$-Laplacians and pendulum-like nonlinearities Next Article Existence of solutions for a semilinear wave equation with non-monotone nonlinearity

Age-dependent equations with non-linear diffusion

Christoph Walker^1,

1.
Leibniz Universität Hannover, Institut für Angewandte Mathematik, Welfengarten 1, D–30167 Hannover

Received: September 30, 2008

Revised: March 31, 2009

Published: June 2010

Abstract Related Papers Cited by

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 applied to concrete examples.

Keywords:

Mathematics Subject Classification: Primary: 35M10, 35K90; Secondary: 92D25.

Citation:

Article Metrics

HTML views() PDF downloads(92) Cited by(0)

Age-dependent equations with non-linear diffusion

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Age-dependent equations with non-linear diffusion

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content