Geodesic
Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions II, Examples
Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 119-140
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The destabilizing effect of four different types of multivalued conditions describing the influence of semipermeable membranes or of unilateral inner sources to the reaction-diffusion system is investigated. The validity of the assumptions sufficient for the destabilization which were stated in the first part is verified for these cases. Thus the existence of points at which the spatial patterns bifurcate from trivial solutions is proved.
The destabilizing effect of four different types of multivalued conditions describing the influence of semipermeable membranes or of unilateral inner sources to the reaction-diffusion system is investigated. The validity of the assumptions sufficient for the destabilization which were stated in the first part is verified for these cases. Thus the existence of points at which the spatial patterns bifurcate from trivial solutions is proved.
DOI : 10.21136/MB.2001.133929
Classification : 35B32, 35J85, 35K40, 35K57, 35K58, 47H04, 47N20
Keywords: bifurcation; spatial patterns; reaction-diffusion system; mollification; inclusions; semipermeable membranes; unilateral inner sources 
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Eisner, Jan. Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions II, Examples. Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 119-140. doi: 10.21136/MB.2001.133929

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