TY - JOUR
T1 - Semistable extremal ground states for nonlinear evolution equations in unbounded domains
AU - Rodríguez-Bernal, Aníbal
AU - Vidal-López, Alejandro
N1 - Funding Information:
Partially supported by Project MTM2006-08262, DGES, Spain. Corresponding author. E-mail address: arober@mat.ucm.es (A. Rodríguez-Bernal).
PY - 2008/2/1
Y1 - 2008/2/1
N2 - 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.
AB - 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.
KW - Attractors
KW - Extremal ground state
KW - Logistic equation
KW - Reaction-diffusion
KW - Unbounded domains
UR - http://www.scopus.com/inward/record.url?scp=34548822442&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2007.05.037
DO - 10.1016/j.jmaa.2007.05.037
M3 - Article
AN - SCOPUS:34548822442
SN - 0022-247X
VL - 338
SP - 675
EP - 694
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -