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Stability and instability of equilibria on singular domains

Maria Gokieli; Nicolas Varchon — 2009

Banach Center Publications

We show existence of nonconstant stable equilibria for the Neumann reaction-diffusion problem on domains with fractures inside. We also show that the stability properties of all hyperbolic equilibria remain unchanged under domain perturbation in a quite general sense, covered by the theory of Mosco convergence.

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