Global Continua of Positive Solutions for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition

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

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  • Christoph Walker

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OriginalspracheEnglisch
Seiten (von - bis)159-172
Seitenumfang14
FachzeitschriftJournal of Dynamics and Differential Equations
Jahrgang25
Ausgabenummer1
PublikationsstatusVeröffentlicht - März 2013

Abstract

This paper is concerned with a quasilinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion. We make use of global bifurcation theory to prove existence of an unbounded continuum of positive solutions.

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Global Continua of Positive Solutions for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition. / Walker, Christoph.
in: Journal of Dynamics and Differential Equations, Jahrgang 25, Nr. 1, 03.2013, S. 159-172.

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

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