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Keywords:
reaction-diffusion system; critical points; unilateral conditions
reaction-diffusion system; critical points; unilateral conditions
Summary:
We show the location of so called critical points, i.e., couples of diffusion coefficients for which a non-trivial solution of a linear reaction-diffusion system of activator-inhibitor type on an interval with Neumann boundary conditions and with additional non-linear unilateral condition at one or two points on the boundary and/or in the interior exists. Simultaneously, we show the profile of such solutions.
References:
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