Stability and instability of equilibria on singular domains
Volume 86 / 2009
Banach Center Publications 86 (2009), 103-113
MSC: 35B38, 35B40, 35B41.
DOI: 10.4064/bc86-0-6
Abstract
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.
