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Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations
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Langa, José A., Robinson, James C., Rodriguez-Bernal, A., Suarez, A. and Vidal-Lopez, A. (2007) Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations. Discrete and Continuous Dynamical Systems, Vol.18 (No.2-3). pp. 483-497. doi:10.3934/dcds.2007.18.483 ISSN 1078-0947.
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Official URL: http://dx.doi.org/10.3934/dcds.2007.18.483
Abstract
The goal of this work is to study the forward dynamics of positive solutions for the non-autonomous logistic equation u(t) - Delta u = lambda u-b(t)u(p), with p > 1, b(t) > 0, for all t is an element of R, lim(t ->infinity) b(t) = 0. While the pullback asymptotic behaviour for this equation is now well understood, several different possibilities are realized in the forward asymptotic regime.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Discrete and Continuous Dynamical Systems | ||||
Publisher: | American Institute of Mathematical Sciences | ||||
ISSN: | 1078-0947 | ||||
Official Date: | June 2007 | ||||
Dates: |
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Volume: | Vol.18 | ||||
Number: | No.2-3 | ||||
Number of Pages: | 15 | ||||
Page Range: | pp. 483-497 | ||||
DOI: | 10.3934/dcds.2007.18.483 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Title of Event: | International Conference on Nonautonomous and Stochastic Dynamical Systems | ||||
Location of Event: | Univ Sevilla, Seville, Spain | ||||
Date(s) of Event: | September 29-October 02, 2005 |
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