Generic hyperbolicity for the equilibria of the one dimensional parabolic equation
Dynamical Systems
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We show, for some classes of diffusion coefficients that, generically in f, all equilibria of the reaction-diffusion equation u_t = (a(x)u_x)_x + f(u) with homogeneous Neumann boundary conditions are hyperbolic.
Keywords
Cite
@article{arxiv.math/0304012,
title = {Generic hyperbolicity for the equilibria of the one dimensional parabolic equation},
author = {A. L. Pereira},
journal= {arXiv preprint arXiv:math/0304012},
year = {2007}
}