Boundary layers in a semilinear parabolic problem
Jack K. Hale, Domingo Salazar · Tohoku Mathematical Journal · 1999
We study a singular perturbation problem for a certain type of reaction diffusion equation with a space-dependent reaction term.We compare the effect that the presence of boundary layers versus internal layers has on the existence and stability of stationary solutions.In particular, we show that the associated eigenvalues are of different orders of magnitude for the two kinds of layers.