Geodesic
Asymptotic Stability, Local Uniqueness, and Domain of Attraction of Two-Dimensional Step Type Contrast Structures
Matematičeskie zametki, Tome 69 (2001) no. 1, pp. 82-91.

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We prove the asymptotic stability of a two-dimensional stationary solution with internal transition layer to a singularly perturbed parabolic problem. We also construct a set of functions belonging to the domain of attraction of such a solution. 
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I. V. Nedelko. Asymptotic Stability, Local Uniqueness, and Domain of Attraction of Two-Dimensional Step Type Contrast Structures. Matematičeskie zametki, Tome 69 (2001) no. 1, pp. 82-91. http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a6/

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