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Multipeak solutions for the Neumann problem of an elliptic system of FitzHugh-Nagumo type |
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Wiley-Blackwell Publishing Ltd |
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10.1112/S0024611504014947 |
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This parabolic system in one space dimension is a simplification of the original Hodgkin-Huxley nerve conduction equations. Here u denotes an activator and v acts as its inhibitor. This system has also been studied in many applied areas. The readers can find more references in for the background of the systems of FitzHugh--Nagumo type. Here we mention some early results on the systems of FitzHugh--Nagumo type, obtained by Klaasen and Troy, Klaasen and Mitidieri and DeFigueiredo and Mitidieri. |
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Proceedings of the London Mathematical Society, 90(1), p. 209-244 |
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