Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs

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Title:	Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs
Author:	Von Below, Joachim; Lubary Martínez, José Antonio
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
Abstract:	We show that there are no stable stationary nonconstant solutions of the evolution problem (1) for fully autonomous reaction-diffusion-equations on the edges of a finite metric graph G under continuity and Kirchhoff flow transition conditions at the vertices
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Reaction-diffusion-equations -metric graphs -quantum graphs -networks -attractors -stability. -Classificació AMS::35 Partial differential equations
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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