Behavior of symmetric reaction-diffusion problems near their critical values

Panayiotis M. Vlamos



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We study the behavior of the Gelfand problem in its symmetric form and in the case where the critical value of the positive parameter delta does not belong in the spectrum of solutions of the corresponding steady-state problem. Using comparison techniques we obtain suitable upper and lower time-dependent solutions, which lead us to estimations of the time-dependent solution and of the blow-up time.

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Vlamos, Panayiotis