Metastability in the shadow system for Gierer-Meinhardt's equations

In this paper we study the stability of the single internal spike solution of the shadow system for the Gierer-Meinhardt equations in one space dimension. It is well-known, that the linearization around this spike consists of a differential operator plus a non-local term. For parameter values in cer...

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Bibliographic Details
Main Authors: Pieter De Groen, Georgi Karadzhov
Format: Article
Language:English
Published: Texas State University 2002-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/50/abstr.html