Instability of an equilibrium with negative definite linearization
Abstract
A nonlinear parabolic differential equation is presented which has at least one equilibrium. This equilibrium is shown to have a negative definite linearization, but a spectrum which includes zero. An elementary construction shows that the equilibrium is not stable.
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Submitted on 19 Feb 2007 (v1), last revised 20 Feb 2007 (this version, v2)
Updated
arXiv.org
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