Rodríguez Bernal, AníbalVidal López, Alejandro2023-06-202023-06-2020080022-247X10.1016/j.jmaa.2007.05.037https://hdl.handle.net/20.500.14352/49694In 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. (C) 2007 Elsevier Inc. All rights reserved.engjournal articlehttp://www.sciencedirect.com/science/journal/0022247Xopen access517.9Reaction-diffusionUnbounded domainsExtremal ground stateAttractorsLogistic equationEcuaciones diferenciales1202.07 Ecuaciones en Diferencias