On the stability of a domain-wall brane model

Thompson, Jayne, Thompson, Bevan and Feckan, Michal (2011) On the stability of a domain-wall brane model. Nonlinear Analysis, Theory, Methods and Applications, 74 15: 4989-4999. doi:10.1016/j.na.2011.04.058

Author Thompson, Jayne
Thompson, Bevan
Feckan, Michal
Title On the stability of a domain-wall brane model
Journal name Nonlinear Analysis, Theory, Methods and Applications   Check publisher's open access policy
ISSN 0362-546X
Publication date 2011-10
Sub-type Article (original research)
DOI 10.1016/j.na.2011.04.058
Volume 74
Issue 15
Start page 4989
End page 4999
Total pages 11
Place of publication Kidlington, England, U.K.
Publisher Pergamon
Collection year 2012
Language eng
Formatted abstract
We establish stability and nonstability results for a domain-wall brane model arising in classical field theory. In particular, we show the nonexistence of nontrivial bounded solutions on the real line for a coupled pair of parameter dependent linear second order ordinary differential equations for an open set of those parameters. Moreover, we establish the existence of nontrivial solutions for a hypersurface of the parameters. We use Fredholm theory for compact linear operators combined with the Lyapunov–Schmidt method to prove our results. The model is stable, respectively unstable, for those parameters for which the coupled system does not, respectively does, have nontrivial solutions.
Keyword Stability
Domain-wall brane model
Fredholm operator
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 1 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 1 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Thu, 22 Mar 2012, 12:25:25 EST by Associate Professor Bevan Thompson on behalf of School of Mathematics & Physics