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Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions

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Authors

  • Christoph Walker

Research Organisations

Details

Original languageEnglish
Pages (from-to)195-218
Number of pages24
JournalNonlinear Differential Equations and Applications
Volume19
Issue number2
Publication statusPublished - Apr 2012

Abstract

The paper is concerned with a system consisting of two coupled nonlinear parabolic equations with a cross-diffusion term, where the solutions at positive times define the initial states. The equations arise as steady state equations of an age-structured predator-prey system with spatial dispersion. Based on unilateral global bifurcation methods for Fredholm operators and on maximal regularity for parabolic equations, global bifurcation of positive solutions is derived.

Keywords

    age structure, Cross-diffusion, Fredholm operator, global bifurcation, maximal regularity

ASJC Scopus subject areas

Cite this

Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions. / Walker, Christoph.
In: Nonlinear Differential Equations and Applications, Vol. 19, No. 2, 04.2012, p. 195-218.

Research output: Contribution to journalArticleResearchpeer review

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