Abstract
In this chapter we investigate the spectral properties of the linearizations Lj of the six problems at a given equilibrium. We show that the dimension of the kernel N(Lj) equals the dimension of the tangent space of the manifold of equilibria ε, the eigenvalue 0 is semi-simple for Lj, and the intersection of the spectrum of Lj with the imaginary axis is {0}.
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© 2016 Springer International Publishing Switzerland
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Prüss, J., Simonett, G. (2016). Linear Stability of Equilibria. In: Moving Interfaces and Quasilinear Parabolic Evolution Equations. Monographs in Mathematics, vol 105. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27698-4_10
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DOI: https://doi.org/10.1007/978-3-319-27698-4_10
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-27697-7
Online ISBN: 978-3-319-27698-4
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