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arXiv:math/0702560 [math.AP]AbstractReferencesReviewsResources

Instability of an equilibrium with negative definite linearization

Michael Robinson

Published 2007-02-19, updated 2007-02-20Version 2

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.

Comments: v1: 6 pages; v2: 7 pages, fixes a glitch in the main theorem
Categories: math.AP, math.DS
Subjects: 37L15, 35Q55
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