Generic hyperbolicity for the equilibria of the one dimensional parabolic equation
Antônio Luíz Pereira · arXiv (Cornell University) · 2003
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.