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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Christoph Walker

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OriginalspracheEnglisch
Seiten (von - bis)195-218
Seitenumfang24
FachzeitschriftNonlinear Differential Equations and Applications
Jahrgang19
Ausgabenummer2
PublikationsstatusVeröffentlicht - 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.

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Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions. / Walker, Christoph.
in: Nonlinear Differential Equations and Applications, Jahrgang 19, Nr. 2, 04.2012, S. 195-218.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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