Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions

Eisner, Jan

Mathematica Bohemica, Tome 125 (2000) no. 4, pp. 385-420

Abstract (VO)

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.

Détail

DOI : 10.21136/MB.2000.126272

Classification : 35B32, 35J85, 35K40, 35K57, 35K58, 47H04, 47N20
Keywords: bifurcation; spatial patterns; reaction-diffusion system; mollification; inclusions

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