Semistable extremal ground states for nonlinear evolution equations in unbounded domains

Aníbal Rodríguez-Bernal; Alejandro Vidal-López

doi:10.1016/j.jmaa.2007.05.037

Semistable extremal ground states for nonlinear evolution equations in unbounded domains

Aníbal Rodríguez-Bernal^*
, Alejandro Vidal-López

^*Corresponding author for this work

Complutense University

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	675-694
Number of pages	20
Journal	Journal of Mathematical Analysis and Applications
Volume	338
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2007.05.037
Publication status	Published - 1 Feb 2008
Externally published	Yes

Keywords

Attractors
Extremal ground state
Logistic equation
Reaction-diffusion
Unbounded domains

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10.1016/j.jmaa.2007.05.037

Cite this

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title = "Semistable extremal ground states for nonlinear evolution equations in unbounded domains",

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.",

keywords = "Attractors, Extremal ground state, Logistic equation, Reaction-diffusion, Unbounded domains",

author = "An{\'i}bal Rodr{\'i}guez-Bernal and Alejandro Vidal-L{\'o}pez",

note = "Funding Information: Partially supported by Project MTM2006-08262, DGES, Spain. Corresponding author. E-mail address: arober@mat.ucm.es (A. Rodr{\'i}guez-Bernal).",

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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 - https://www.scopus.com/pages/publications/34548822442

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 -

Semistable extremal ground states for nonlinear evolution equations in unbounded domains

Abstract

Keywords

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