Local stability of spike steady states in a simplified Gierer-Meinhardt system

In this paper we study the stability of the single internal spike solution of a simplified Gierer-Meinhardt' system of equations in one space dimension. The linearization around this spike consists of a selfadjoint differential operator plus a non-local term, which is a non-selfadjoint compact...

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Bibliographic Details
Main Authors: Georgi E. Karadzhov, David E. Edmunds, Pieter P. N. de Groen
Format: Article
Language:English
Published: Texas State University 2005-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/54/abstr.html