A priori estimates of higher order derivatives of solutions to the FitzHugh-Nagumo equations |
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| Authors: | ME Schonbek |
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| Institution: | Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061 U.S.A. |
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| Abstract: | In this paper we establish L∞-bounds for the derivatives of all orders of the solutions to the FitzHugh-Nagumo equations, by means of comparison functions. We obtain bounds for the initial value problem, the Dirichlet problem and the Neumann problem. The FitzHugh-Nagumo equations arise in mathematical biology as a model for the conduction of electrical impulses along a nerve axon. |
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