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Existence and Stability of Spikes for the Gierer-Meinhardt System
| Content Provider | Semantic Scholar |
|---|---|
| Author | Wei, Juncheng |
| Copyright Year | 2007 |
| Abstract | This chapter discusses existence and stability of spikes for the Gierer–Meinhardt system. The chapter explains two shadow system cases: (1) steady states and (2) stability and instability. Shadow system case can reduce the existence of solutions to a variational elliptic problem. The chapter describes full Gierer–Meinhardt system in the one-dimensional case and in the two-dimensional case. There is no variational structure for the full Gierer–Meinhardt system in the one-dimensional case. The chapter also describes high-dimensional case. |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/S1874-5733(08)80013-7 |
| Alternate Webpage(s) | http://www.math.ubc.ca/~jcwei/CHIPOT506.pdf |
| Alternate Webpage(s) | http://www.math.cuhk.edu.hk/~wei/CHIPOT506.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/S1874-5733%2808%2980013-7 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
