On single interior spike solutions of the
Gierer–Meinhardt system:
uniqueness and spectrum estimates
1999 ◽
Vol 10
(4)
◽
pp. 353-378
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Keyword(s):
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 first show that at a non-degenerate 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 analysed.
2000 ◽
Vol 24
(8)
◽
pp. 693-722
◽
Keyword(s):
1995 ◽
Vol 50
(24)
◽
pp. 3897-3898
◽
Keyword(s):
1979 ◽
Vol 101
(1)
◽
pp. 86-91
◽
2016 ◽
Vol 56
(5)
◽
pp. 802-809
◽
Keyword(s):
1968 ◽
Vol 15
(2)
◽
pp. 685-688
◽
Keyword(s):