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Semistable extremal ground states for nonlinear evolution equations in unbounded domains
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Rodríguez-Bernal, Aníbal and Vidal-López, Alejandro (2008) Semistable extremal ground states for nonlinear evolution equations in unbounded domains. Journal of Mathematical Analysis and Applications, Vol.338 (No.1). pp. 675-694. doi:10.1016/j.jmaa.2007.05.037 ISSN 0022-247X.
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Official URL: http://dx.doi.org/10.1016/j.jmaa.2007.05.037
Abstract
In this paper we show that dissipative reaction–diffusion equations in unbounded domains posses extremal semistable ground states equilibria, which bound asymptotically the global dynamics. Uniqueness of such positive ground state and their approximation by extremal equilibria in bounded domains is also studied. The results are then applied to the important case of logistic equations.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Mathematical Analysis and Applications | ||||
Publisher: | Academic Press | ||||
ISSN: | 0022-247X | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.338 | ||||
Number: | No.1 | ||||
Page Range: | pp. 675-694 | ||||
DOI: | 10.1016/j.jmaa.2007.05.037 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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