Global influence domains of stable solutions with internal layers
Valentin Fedorovich Butuzov, Ilja Vitaljevich Nedelko · Sbornik Mathematics · 2001
The initial-boundary-value problem is considered for a non-stationary equation of reaction-diffusion type with non-linearity having two stable zeros. The conditions imposed ensure the existence of a stable stationary solution with internal transition layer (a stable step-like contrast structure). The question of which initial functions belong to the influence domain of such a solution is studied.