Jan Eisner, Mathematical Institute, Academy of Sciences of the Czech Republic, Zitna 25, Praha 1, Czech Republic, e-mail: eisner@math.cas.cz
Abstract: Sufficient conditions for destabilizing effects of certain unilateral boundary conditions and for the existence of bifurcation points for spatial patterns to reaction-diffusion systems of the activator-inhibitor type are proved. The conditions are related with the mollification method employed to overcome difficulties connected with empty interiors of appropriate convex cones.
Keywords: bifurcation, spatial patterns, reaction-diffusion system, mollification, inclusions
Classification (MSC 1991): 35B32, 35K57, 35K58, 47H04
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