Global influence domains of stable solutions with internal layers

V. F. Butuzov   ; I. V. Nedelko

Sbornik. Mathematics, Tome 192 (2001) no. 5, pp. 651-691

Résumé

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.

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