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Bifurcation of steady-state solutions of a scalar reaction-diffusion equation in one space variable
Abstract We study the bifurcation of steady-state solutions of a scalar reaction-diffusion equation in one space variable by modifying a ātime mapā technique introduced by J. Smoller and A. Wasserman. We count the exact number of steady-state solutions which are totally ordered in an order interval. We are then able ā¦