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Generic hyperbolicity for the equilibria of the one dimensional parabolic equation

A. L. Pereira
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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.

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A. L. Pereira. 2003-04-01. Generic hyperbolicity for the equilibria of the one dimensional parabolic equation. https://arxiv.org/abs/math/0304012

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