On Single Interior Spike Solutions of Gierer-meinhardt System: Uniqueness and Spectrum Estimates
نویسنده
چکیده
We study the interior spike solutions to a steady state problem of the shadow system of the Gierer-Meinhardt system arising from biological pattern formation. We rst show that at a nondegenerate peak point the interior spike solution is locally unique and then we establish the spectrum estimates of the associated linearized operator. We also prove that the corresponding solution to the shadow system is unstable. Furthermore, the metastability of such solutions is analyzed.
منابع مشابه
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تاریخ انتشار 1998