A priori estimates for excitable models
Mathematical Physics
2013-04-17 v1 math.MP
Neurons and Cognition
Abstract
The reaction-diffusion system of Fitzhugh Nagumo is considered. The initial- boundary problems with Neumann and Dirichlet conditions are analyzed. By means of an equivalent semilinear integrodifferential equation which characterizes several dissipative models of viscoelasticity, biology, and superconductivity, some results on existence, uniqueness and a priori estimates are deduced both in the linear case and in the non linear one.
Cite
@article{arxiv.1304.4475,
title = {A priori estimates for excitable models},
author = {M. De Angelis},
journal= {arXiv preprint arXiv:1304.4475},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1203.0448